# Valliar

Max@Math Revolution posted a new topic called 32 teams compete in the World Cup of Soccer. They are divid in the Problem Solving forum
“[Math Revolution GMAT math practice question] 32 teams compete in the World Cup of Soccer. They are divided into eight groups of four teams (groups A to H) to compete in the ‘group stage’. Teams in each group play one another in a round-robin competition, with the top two teams of each group ...”
January 18, 2019
Max@Math Revolution posted a reply to If the median and the range of the data set 1, 1, 2, 2, 3, 3 in the Problem Solving forum
“=> If 3 ≤ m ≤ 4, then the median is 3 and the range of the data is 3. Thus, any number between 3 and 4, inclusive, is possible. If 2 ≤ m < 3, then the median is m and the range of the data is 3. Thus, there is no possible value of m in the interval 2 ≤ m < 3. If m < 2, then ...”
January 18, 2019
Max@Math Revolution posted a new topic called Is ab < 0? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is ab < 0? 1) |a+b| = - ( a + b ) 2) |a+b| + 1 = |a| + |b|”
January 18, 2019
Max@Math Revolution posted a reply to If x and y are integers, is x^2-y^2 an even integer? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 18, 2019
Max@Math Revolution posted a new topic called The speed of a boat is 5 times the speed at which a river fl in the Problem Solving forum
“[Math Revolution GMAT math practice question] The speed of a boat is 5 times the speed at which a river flows. What percent of the time it takes for the boat to travel down the river (i.e. in the same direction as the river flow) does it take for the boat to travel up the river? A. 50% ...”
January 17, 2019
Max@Math Revolution posted a reply to A rectangular wall has dimensions of 800 by 300. If the wall in the Problem Solving forum
“=> Now, 800 / 25 = 32 and 300 / 12 = 25. Thus, the number of tiles required is 32 * 25 = 800. Therefore, the answer is E. Answer: E”
January 17, 2019
Max@Math Revolution posted a new topic called A sequence An satisfies An+3=An+8. What is the remainder whe in the Data Sufficiency forum
“n satisfies An+3=An+8. What is the remainder when A99 is divided by 8? 1) A1=1 2) A2=2”
January 17, 2019
Max@Math Revolution posted a reply to If x, y are integers, is x^2+x+y an odd integer? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 17, 2019
Max@Math Revolution posted a new topic called If the median and the range of the data set 1, 1, 2, 2, 3, 3 in the Problem Solving forum
“[Math Revolution GMAT math practice question] If the median and the range of the data set 1, 1, 2, 2, 3, 3, 4, 4, m are the same, which of the following could be the value of m? A. -1 B. 0 C. 1 D. 2 E. 3”
January 16, 2019
Max@Math Revolution posted a reply to Three machines have equal constant work rates. It takes h + in the Problem Solving forum
“=> The work rate for each machine is given by 360 / {2(h+3)} = 180 / ( h + 3 ). Another expression for this work rate is 360 / (3h) = 120 / h. Thus, 180 / ( h + 3 ) = 120 / h or 3 / ( h + 3 ) = 2 / h. So, 3h = 2(h+3) and h = 6. The sum of the work rates of the 3 machines is 360 / 6 = 60. ...”
January 16, 2019
Max@Math Revolution posted a new topic called If x and y are integers, is x^2-y^2 an even integer? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x and y are integers, is x^2-y^2 an even integer? 1) x^3-y^3 is an even integer 2) x+y is an even integer”
January 16, 2019
Max@Math Revolution posted a reply to Is a > b - c? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 16, 2019
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
January 16, 2019
Max@Math Revolution posted a new topic called A rectangular wall has dimensions of 800 by 300. If the wall in the Problem Solving forum
“[Math Revolution GMAT math practice question] A rectangular wall has dimensions of 800 by 300. If the wall is tiled using tiles measuring 12 x 25 of the same units, how many tiles are used? A. 360 B. 400 C. 500 D. 600 E. 800”
January 15, 2019
Max@Math Revolution posted a new topic called If x, y are integers, is x^2+x+y an odd integer? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x, y are integers, is x^2+x+y an odd integer? 1) x is an odd integer 2) y is an odd integer”
January 15, 2019
Max@Math Revolution posted a new topic called Three machines have equal constant work rates. It takes h + in the Problem Solving forum
“[Math Revolution GMAT math practice question] Three machines have equal constant work rates. It takes h + 3 hours to produce 360 toys when 2 machines work together, and it takes h hours to produce 360 toys when 3 machines work together. How many toys can each machine produce per hour when working ...”
January 14, 2019
Max@Math Revolution posted a new topic called Is a > b - c? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is a > b - c? 1) |c-b| < a 2) a, b, and c are the lengths of the 3 sides of a triangle.”
January 14, 2019
Max@Math Revolution posted a reply to n is a product of 6 distinct prime numbers. m!/n is an integ in the Problem Solving forum
“=> The smallest product of 6 distinct prime numbers is n = 2*3*5*7*11*13. 13! Is the smallest factorial that is divisible by 2*3*5*7*11*13. Thus, the smallest possible integer value of m is 13. Therefore, the answer is D. Answer: D”
January 14, 2019
Max@Math Revolution posted a reply to (7+43+7-43)^2 is equal to which of the following? in the Problem Solving forum
“=> You should recall two properties about nested radicals: $$\sqrt{a+b+2\sqrt{ab}}=\sqrt{a}+\sqrt{b}$$ , $$\sqrt{a+b-2\sqrt{ab}}=\sqrt{a}-\sqrt{b}$$ , where a > b. Together, these yield $$\left(\sqrt{7+4\sqrt{3}}+\sqrt{7-4\sqrt{3}}\right)^2$$ ...”
January 14, 2019
Max@Math Revolution posted a reply to In the xy-plane, a circle has center (0,0) and radius 5. Is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 14, 2019
Max@Math Revolution posted a reply to x, y and z are the sides of the triangle shown and h is its in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 14, 2019
Max@Math Revolution posted a new topic called n is a product of 6 distinct prime numbers. m!/n is an integ in the Problem Solving forum
“[Math Revolution GMAT math practice question] n is a product of 6 distinct prime numbers. m!/n is an integer. What is the smallest possible value of m? A. 10 B. 11 C. 12 D. 13 E. 14”
January 11, 2019
Max@Math Revolution posted a reply to What is the difference between the sum of all even integers in the Problem Solving forum
“=> ( 52 + 54 + … + 100 ) – ( 2 + 4 + … + 50 ) = ( 52 – 2 ) + ( 54 – 4 ) + … + ( 100 – 50 ) = 50 + 50 + … + 50 = 50 * 25 = 1250. Therefore, the answer is A. Answer: A”
January 11, 2019
Max@Math Revolution posted a new topic called In the xy-plane, a circle has center (0,0) and radius 5. Is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] In the xy-plane, a circle has center (0,0) and radius 5. Is the point (r,s) inside or on the circle? 1) -3 < r < 3 2) -4 < s < 4”
January 11, 2019
Max@Math Revolution posted a reply to If x and y are positive, is x > y? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 11, 2019
Max@Math Revolution posted a new topic called (7+43+7-43)^2 is equal to which of the following? in the Problem Solving forum
“$$\left(\sqrt{7+4\sqrt{3}}+\sqrt{7-4\sqrt{3}}\right)^2$$ is equal to which of the following? A. 32 B. 30 C. 24 D. 16 E. 12”
January 10, 2019
Max@Math Revolution posted a reply to x is a positive integer, and the units digits of both (x+2)^ in the Problem Solving forum
“=> Since x is a positive integer and the units digits of both (x+2)^2 and (x-2)^2 are 9, the units digits of x+2 and x-2 must be 7 and 3, respectively. Thus, the units digit of x is 5. Therefore, the answer is C. Answer: C ”
January 10, 2019
Max@Math Revolution posted a new topic called x, y and z are the sides of the triangle shown and h is its in the Data Sufficiency forum
“https://i.postimg.cc/CBG3d0W7/1-10.png”
January 10, 2019
Max@Math Revolution posted a reply to If x is integer and 3 | x |+x < 4, what is the value of x in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 10, 2019
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
January 10, 2019
Max@Math Revolution posted a new topic called What is the difference between the sum of all even integers in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the difference between the sum of all even integers between 51 and 100 (inclusive) and the sum of all even integers between 1 and 50 (inclusive)? A. 1,250 B. 2,000 C. 2,500 D. 3,750 E. 5,000”
January 9, 2019
Max@Math Revolution posted a reply to If f(a*b) = f(a) + f(b), what is the value of f(1)? in the Problem Solving forum
“=> Since 1 = 1 * 1, setting a = 1 and b = 1 yields f(1) = f(1*1) = f(1) + f(1) and f(1) = 2f(1), which is equivalent to f(1) = 0. Therefore, the answer is C. Answer: C”
January 9, 2019
Max@Math Revolution posted a new topic called If x and y are positive, is x > y? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x and y are positive, is x > y? 1) 2x > 3y 2) -5x < -7y”
January 9, 2019
Max@Math Revolution posted a reply to If x ≠ y, what is the value of ( x^2y – xy^2 ) / ( x^3 in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 9, 2019
Max@Math Revolution posted a new topic called x is a positive integer, and the units digits of both (x+2)^ in the Problem Solving forum
“[Math Revolution GMAT math practice question] x is a positive integer, and the units digits of both (x+2)^2 and (x-2)^2 are 9. What is the units digit of x？ A. 1 B. 3 C. 5 D. 7 E. 9”
January 8, 2019
Max@Math Revolution posted a new topic called If x is integer and 3 | x |+x < 4, what is the value of x? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x is integer and 3 | x |+x < 4, what is the value of x? 1) x < 0 2) x > -2”
January 8, 2019
Max@Math Revolution posted a new topic called If f(a*b) = f(a) + f(b), what is the value of f(1)? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If f(a*b) = f(a) + f(b), what is the value of f(1)? A. 1 B. -1 C. 0 D. 2 E. -2”
January 7, 2019
Max@Math Revolution posted a new topic called If x ≠ y, what is the value of ( x^2y – xy^2 ) / ( x^3 – y^3 in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x ≠ y, what is the value of ( x^2y – xy^2 ) / ( x^3 – y^3 )? 1) xy / ( x^2 + xy + y^2) = 1/3 2) x^2y^2=9”
January 7, 2019
Max@Math Revolution posted a reply to In a sports club, 6 players are divided into 3 teams of 2 pl in the Problem Solving forum
“=> Since we need to choose 2 players out of 6 players for the first team, choose 2 players out of 4 players for the second team and choose 2 players out of 2 players for the last team, the number of possible choices, in this order is 6C2*4C2*2C2. Since the order in which the three teams is ...”
January 7, 2019
Max@Math Revolution posted a reply to If 4+ 1n = 55n, what is the value of n? in the Problem Solving forum
“=> $$\sqrt{4+\frac{1}{n}}=5\sqrt{\frac{5}{n}}$$ $$\sqrt{\frac{4n+1}{n}}=5\sqrt{\frac{5}{n}}$$ $$\frac{4n+1}{n}=25\left(\frac{5}{n}\right)$$ $$\frac{4n+1}{n}=\frac{125}{n}$$ $$4n+1=125$$ $$4n=124$$ $$n=31$$ Therefore, the answer is A. Answer: A”
January 7, 2019
Max@Math Revolution posted a reply to Is x/y < 0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The ...”
January 7, 2019
Max@Math Revolution posted a reply to Is x/y < 0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 7, 2019
Max@Math Revolution posted a new topic called In a sports club, 6 players are divided into 3 teams of 2 pl in the Problem Solving forum
“[Math Revolution GMAT math practice question] In a sports club, 6 players are divided into 3 teams of 2 players. How many such arrangements are possible? A. 10 B. 15 C. 25 D. 30 E. 40”
January 4, 2019
Max@Math Revolution posted a reply to Which of the following could be the area of a regular hexago in the Problem Solving forum
“https://i.postimg.cc/DSx8z814/1-4.png => Let n be the side-length of a regular hexagon. Then the area of the shaded equilateral triangle is (√3/4)n^2 and the area of the regular hexagon is (6√3/4)n^2 = (3√3/2)n^2 . If n = 2, then (3√3/2)n^2 = (3√3/2)2^2 =6√3. None of the ...”
January 4, 2019
Max@Math Revolution posted a new topic called Is x/y < 0? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is x/y < 0? 1) x^4y^5 < 0 2) x^5y^3 < 0”
January 4, 2019
Max@Math Revolution posted a reply to Can n be expressed as the difference of 2 prime numbers? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
January 4, 2019
Max@Math Revolution posted a new topic called If 4+ 1n = 55n, what is the value of n? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If $$\sqrt{4+\frac{1}{n}}=5\sqrt{\frac{5}{n}}$$ , what is the value of n? A. 31 B. 41 C. 51 D. 61 E. 71”
January 3, 2019
Max@Math Revolution posted a reply to If 2x+y=3 and 4x^2-4xy+y^2=1, what is the value of xy? in the Problem Solving forum
“=> Since 2x+y=3, (2x+y)^2 = 4x^2+4xy+y^2 =9. When we subtract 4x^2-4xy+y^2=1 from 4x^2+4xy+y^2 =9, we obtain (4x^2+4xy+y^2) - (4x^2-4xy+y^2) = 8xy = 9 - 1 = 8. So, xy = 1. Therefore, the answer is C. Answer: C”
January 3, 2019
Max@Math Revolution posted a new topic called Is x/y < 0? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is x/y < 0? 1) |x+y| < |x|+|y| 2) x+y < 0”
January 3, 2019
Max@Math Revolution posted a reply to What is the value of the integer n? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 3, 2019
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
January 3, 2019
Max@Math Revolution posted a new topic called Which of the following could be the area of a regular hexago in the Problem Solving forum
“[Math Revolution GMAT math practice question] Which of the following could be the area of a regular hexagon in which the length of the equal sides is an integer? A. √3/6 B. √3/5 C. √3/4 D. 6√3 E. 3√3/4”
January 2, 2019
Max@Math Revolution posted a reply to (x^8y^2+x^2y^8)/(x^2+y^2)=? in the Problem Solving forum
“=> (x^8y^2+x^2y^8)/(x^2+y^2)= x^2y^2(x^6+y^6)/(x^2+y^2)= x^2y^2(x^2+y^2)(x^4-x^2y^2+y^4)/(x^2+y^2)= x^2y^2 (x^4-x^2y^2+y^4), using the identity a^3+b^3 = (a+b)(a^2-ab+b^2). Therefore, the answer is A. Answer: A”
January 2, 2019
Max@Math Revolution posted a new topic called Can n be expressed as the difference of 2 prime numbers? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Can n be expressed as the difference of 2 prime numbers? 1) (n-17)(n-21) = 0 2) (n-15)(n-17)=0”
January 2, 2019
Max@Math Revolution posted a reply to Is √(x+1)^2=x+1 ? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 2, 2019
Max@Math Revolution posted a new topic called If 2x+y=3 and 4x^2-4xy+y^2=1, what is the value of xy? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 2x+y=3 and 4x^2-4xy+y^2=1, what is the value of xy? A. 1/8 B. 1/2 C. 1 D. 2 E. 4”
January 1, 2019
Max@Math Revolution posted a new topic called What is the value of the integer n? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] What is the value of the integer n? 1) n is a prime factor of 21 2) n is a factor of 49”
January 1, 2019
Max@Math Revolution posted a new topic called (x^8y^2+x^2y^8)/(x^2+y^2)=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] (x^8y^2+x^2y^8)/(x^2+y^2)=? A. x^2y^2(x^4-x^2y^2+y^4) B. x^2y(x^4+x^2y^2+y^4) C. x^2y^2(x^2+y^2) D. x^2y^2(x+y) E. x^4y^4(x^2-y^2)”
December 31, 2018
Max@Math Revolution posted a new topic called Is √(x+1)^2=x+1 ? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is $$\sqrt{\left(x+1\right)^2}=x+1$$ ? 1) x(x-2) = 0 2) x(x+2) = 0”
December 31, 2018
Max@Math Revolution posted a reply to If f(x)=1-(1/x), then f(f(f(x)))=? in the Problem Solving forum
“=> f(x) = 1 – 1/x = (x-1)/x f(f(x)) = 1 – 1/f(x) = 1 – x/(x-1) = (x-1-x)/(x-1) = - 1/(x-1) f(f(f(x))) = 1 – 1/f(f(x)) = 1 – ( - (x-1)) = 1 + x – 1 = x Therefore, the answer is A. Answer: A”
December 31, 2018
Max@Math Revolution posted a reply to If x^2+y^2=2xy, then (x+y)/(2x-y)=? in the Problem Solving forum
“=> x^2+y^2=2xy => x^2+y^2-2xy=0 => (x-y)^2 = 0 => x = y (x+y)/(2x-y)= (x+x) / (2x-y) = 2x/x = 2, since x =y. Therefore, the answer is E. Answer: E ”
December 31, 2018
Max@Math Revolution posted a reply to In the xy-coordinate plane, does y=a(x-h)^2+k intersect the in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
December 31, 2018
Max@Math Revolution posted a reply to If m and n are positive integers, is 3^{4m+2}+n divisible b in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 31, 2018
Max@Math Revolution posted a new topic called If f(x)=1-(1/x), then f(f(f(x)))=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If f(x)=1-(1/x), then f(f(f(x)))=? A. x B. 1/x C. 1/x+1 D. -1/x+1 E. x/x+1”
December 28, 2018
Max@Math Revolution posted a reply to If a certain coin is flipped, it has probability 1/2 of land in the Problem Solving forum
“=> The complementary case is the event with all heads, which has probability (1/2)^4. The probability of at least one tail is 1 – (1/2)^4 = 1 – 1/16 = 15/16. Therefore, the answer is E. Answer: E”
December 28, 2018
Max@Math Revolution posted a new topic called In the xy-coordinate plane, does y=a(x-h)^2+k intersect the in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] In the xy-coordinate plane, does y=a(x-h)^2+k intersect the x-axis? 1) h=1 2) k=2”
December 28, 2018
Max@Math Revolution posted a reply to If m and n are positive integers, is m + n an odd number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
December 28, 2018
Max@Math Revolution posted a new topic called If x^2+y^2=2xy, then (x+y)/(2x-y)=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If x^2+y^2=2xy, then (x+y)/(2x-y)=? A. -2 B. -1 C. 0 D. 1 E. 2”
December 27, 2018
Max@Math Revolution posted a reply to If x^2+y^2=28 and xy=11, what is the value of (x+y)^2? in the Problem Solving forum
“=> (x+y)^2 = x^2 + 2xy + y^2 = x^2 + y^2 + 2xy = 28 + 2*11 = 28 + 22 = 50. Therefore, the answer is C. Answer: C”
December 27, 2018
Max@Math Revolution posted a new topic called If m and n are positive integers, is 3^{4m+2}+n divisible b in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If m and n are positive integers, is 3^{4m+2}+n divisible by 5? 1) m=3 2) n=1”
December 27, 2018
Max@Math Revolution posted a reply to If n is a positive integer, is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 27, 2018
Max@Math Revolution posted a new topic called If a certain coin is flipped, it has probability 1/2 of land in the Problem Solving forum
“[Math Revolution GMAT math practice question] If a certain coin is flipped, it has probability 1/2 of landing on heads and probability 1/2 of landing on tails. If the coin is flipped 4 times, what is the probability that it will land on tails at least once? A. 3/8 B. 1/4 ...”
December 26, 2018
Max@Math Revolution posted a reply to If 0 < x < 2 and 0 < y < 2 on the xy-plane, what in the Problem Solving forum
“=> https://i.postimg.cc/KRTTYwRc/12-26.png The outside square contains all points satisfying 0 < x < 2 and 0 < y < 2. The shaded region consists of all points satisfying 0 < x < 2 and 0 < y < 2 such that x + y < 1. Its area is 1/2, and the area of the outside ...”
December 26, 2018
Max@Math Revolution posted a new topic called If m and n are positive integers, is m + n an odd number? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If m and n are positive integers, is m + n an odd number? 1) m/n is an even number 2) m or n is an even number”
December 26, 2018
Max@Math Revolution posted a reply to f(x) is the greatest prime factor of x. If n is a positive i in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
December 26, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
December 26, 2018
Max@Math Revolution posted a new topic called If x^2+y^2=28 and xy=11, what is the value of (x+y)^2? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If x^2+y^2=28 and xy=11, what is the value of (x+y)^2? A. 28 B. 39 C. 50 D. 61 E. 72”
December 25, 2018
Max@Math Revolution posted a new topic called If n is a positive integer, is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If n is a positive integer, is $$\sqrt{n+1}$$ an even integer? 1) n is the product of 2 consecutive odd numbers 2) n is an odd number”
December 25, 2018
Max@Math Revolution posted a reply to (0.0004)(0.000005)/200,000 is equal to which of the followin in the Problem Solving forum
“You are right. The solution and choices are fixed. Thank you for your comments.”
December 24, 2018
Max@Math Revolution posted a new topic called If 0 < x < 2 and 0 < y < 2 on the xy-plane, what is the prob in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 0 < x < 2 and 0 < y < 2 on the xy-plane, what is the probability that x+y < 1? A. 1/2 B. 1/4 C. 1/6 D. 1/8 E. 1/10”
December 24, 2018
Max@Math Revolution posted a new topic called f(x) is the greatest prime factor of x. If n is a positive i in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] f(x) is the greatest prime factor of x. If n is a positive integer less than 10, what is the value of n? 1) f(n) = f(1000) 2) f(n) = 5”
December 24, 2018
Max@Math Revolution posted a reply to 120 tickets are to be evenly distributed to n people. If n in the Problem Solving forum
“Hello, Fabio We edited thw solutions. Thanks.”
December 24, 2018
Max@Math Revolution posted a reply to What is the smallest integer n such that 2^8 is a factor of in the Problem Solving forum
“=> Since 2 = 2^1, 4 = 2^2, 6 = 2^1*3, 8 = 2^3, 10=2^1*5, the prime factorization of 10! = 1*2*3*…*10 has the form 28*m for some integer m, where m and 2 are relatively prime. Note that 9! = 2^7*k for some integer k, where k and 2 are relatively prime. Therefore, the answer is B. Answer: ...”
December 24, 2018
Max@Math Revolution posted a reply to 120 tickets are to be evenly distributed to n people. If n in the Problem Solving forum
“=> 120 = 2^3*3^1*5^1 or 120 = 8*15. Thus 15 is the greatest factor among choices. Therefore, the answer is E. Answer: E”
December 24, 2018
Max@Math Revolution posted a reply to n is a positive integer. Is n(n+1)(n+2)/4 an even integer? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 24, 2018
Max@Math Revolution posted a reply to Is |m-n|=|m|-|n| ? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 24, 2018
Max@Math Revolution posted a new topic called What is the smallest integer n such that 2^8 is a factor of in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the smallest integer n such that 2^8 is a factor of n!? A. 8 B. 10 C. 12 D. 14 E. 16”
December 21, 2018
Max@Math Revolution posted a reply to How many 4-digit numbers greater than 3,000 have the digits: in the Problem Solving forum
“=> We need to count the 4-digit numbers with thousands digits 3, 5 and 7. The number of 4-digit numbers beginning with 3 is 6. The number of 4-digit numbers beginning with 5 is 6. The number of 4-digit numbers beginning with 7 is 6. Thus, the total number of such 4-digit numbers is 18 = 6 ...”
December 21, 2018
Max@Math Revolution posted a new topic called n is a positive integer. Is n(n+1)(n+2)/4 an even integer? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] n is a positive integer. Is n(n+1)(n+2)/4 an even integer? 1) n is an even integer 2) 1238 ≤ n ≤ 1240”
December 21, 2018
Max@Math Revolution posted a reply to Is x/y>1? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 21, 2018
Max@Math Revolution posted a new topic called 120 tickets are to be evenly distributed to n people. If n in the Problem Solving forum
“[Math Revolution GMAT math practice question] 120 tickets are to be evenly distributed to n people. If n is greater than 1 and the number of tickets given to each person is greater than 1, what is the greatest possible value of n from choices? A. 9 B. 10 C. 12 ...”
December 20, 2018
Max@Math Revolution posted a reply to (0.0004)(0.000005)/200,000 is equal to which of the followin in the Problem Solving forum
“=> (0.0004)(0.000005)/200,000 = {4*5*(0.0001)(0.000001)}/{2*100,000} = (2*10^1*10^-4*10^-6)/ (2*10^5) = (10^-9)/(10^5) = 10^-14 Therefore, the answer is B. Answer: B”
December 20, 2018
Max@Math Revolution posted a new topic called Is |m-n|=|m|-|n| ? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is |m-n|=|m|-|n| ? 1) m-n = 0 2) n = 0”
December 20, 2018
Max@Math Revolution posted a reply to x and y are positive integers. Is y an even integer? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
December 20, 2018
Max@Math Revolution posted a new topic called How many 4-digit numbers greater than 3,000 have the digits: in the Problem Solving forum
“[Math Revolution GMAT math practice question] How many 4-digit numbers greater than 3,000 have the digits: 1, 3, 5, and 7? A. 6 B. 9 C. 12 D. 15 E. 18”
December 19, 2018
Max@Math Revolution posted a reply to In the coordinate plane, the y-intercept of the line k is eq in the Problem Solving forum
“=> The equation of line k has the form, y = mx + b, where m is the slope and b is the y-intercept. Let m be the slope of line k. Then b = 2m, and the equation is y = mx + 2m = m(x+2). The x-intercept of line k is -2, since -2 is a root of m(x+2)=0. Therefore, the answer is A. Answer: ...”
December 19, 2018
Max@Math Revolution posted a new topic called Is x/y>1? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is x/y>1? 1) x>y 2) x-y>1”
December 19, 2018
Max@Math Revolution posted a reply to [x] is the greatest integer less than or equal to x. <x&a in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. [ x ] is ...”
December 19, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
December 18, 2018
Max@Math Revolution posted a new topic called (0.0004)(0.000005)/200,000 is equal to which of the followin in the Problem Solving forum
“[Math Revolution GMAT math practice question] (0.0004)(0.000005)/200,000 is equal to which of the following? A. 10^-15 B. 10^-14 C. 10^-13 D. 10^-12 E. 10^-11”
December 18, 2018
Max@Math Revolution posted a new topic called x and y are positive integers. Is y an even integer? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] x and y are positive integers. Is y an even integer? 1) x^2+x=y+2 2) x = 2”
December 18, 2018
Max@Math Revolution posted a new topic called In the coordinate plane, the y-intercept of the line k is eq in the Problem Solving forum
“[Math Revolution GMAT math practice question] In the coordinate plane, the y-intercept of the line k is equal to twice its slope. The y-intercept is not 0. What is the x-intercept of the line k? A. -2 B. -1 C. 0 D. 1 E. 2”
December 17, 2018
Max@Math Revolution posted a new topic called [x] is the greatest integer less than or equal to x. <x> is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] [x] is the greatest integer less than or equal to x. < x > is the least integer greater than or equal to x. What is the value of x? 1) [x] = 2 2) < x > = 2”
December 17, 2018
Max@Math Revolution posted a reply to Seven small circles of radius 2 are cut from the large circl in the Problem Solving forum
“=> https://i.postimg.cc/YGKPdjFr/12-17.png The radius of the large circle is 2*2 + 2 = 6. Thus, the area of the large circle is 6^2π = 36π, and the area of each of the seven small circles is 2^2π = 4π. Thus, the area of the shaded region is 36π – 7(4π) = 8π. Therefore, the ...”
December 17, 2018
Max@Math Revolution posted a reply to How many subsets of {1,2,3,4,5,6,7,8} contain at least one p in the Problem Solving forum
“=> It is easiest to use complementary counting. That is, count the number of subsets that contain no prime number and subtract it from the total number of subsets. The number of subsets containing no prime number is the number of subsets of { 1, 4, 6, 8 }. Note that 1 is neither a prime ...”
December 17, 2018
Max@Math Revolution posted a reply to When n is a positive integer, is n / 4 an integer? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 17, 2018
Max@Math Revolution posted a reply to If m and n are positive integers, is mn an even number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 17, 2018
Max@Math Revolution posted a new topic called Seven small circles of radius 2 are cut from the large circl in the Problem Solving forum
“https://i.postimg.cc/6TkwQPCF/12-14.png A. 8 π B. 20 π C. 32 π D. 48 π E. 64 π”
December 14, 2018
Max@Math Revolution posted a reply to How many perfect squares lie between 2^4 and 2^8, inclusive? in the Problem Solving forum
“=> We need to count the number of integers n satisfying 2^4 ≤ n^2 ≤ 2^8 or 2^2 ≤ n ≤ 2^4. The number of integers satisfying 2^2 ≤ n ≤ 2^4 is 2^4 – 2^2 + 1 = 16 – 4 + 1 = 13. Therefore, the answer is B. Answer: B”
December 14, 2018
Max@Math Revolution posted a new topic called When n is a positive integer, is n / 4 an integer? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] When n is a positive integer, is n / 4 an integer? 1) n - 1 is not divisible by 2 2) n + 1 is not divisible by 2”
December 14, 2018
Max@Math Revolution posted a reply to If n is a positive integer, is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Condition ...”
December 14, 2018
Max@Math Revolution posted a new topic called How many subsets of {1,2,3,4,5,6,7,8} contain at least one p in the Problem Solving forum
“[Math Revolution GMAT math practice question] How many subsets of {1,2,3,4,5,6,7,8} contain at least one prime number? A. 60 B. 120 C. 150 D. 180 E. 240”
December 13, 2018
Max@Math Revolution posted a reply to The quadrilateral ABCD is a square with sides of length 12. in the Problem Solving forum
“=> To find the area of the shaded quadrilateral, we need to subtract the areas of triangles ABE and BCF from the area of square ABCD. We can position the square in the xy-plane as shown in the diagram below. https://i.postimg.cc/kBnNMpJJ/12-13.png The equations of AC and BE are y ...”
December 13, 2018
Max@Math Revolution posted a new topic called If m and n are positive integers, is mn an even number? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If m and n are positive integers, is mn an even number? 1) m/n is an even number. 2) m + n is an even number.”
December 13, 2018
Max@Math Revolution posted a reply to If x and y are positive integers and in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 13, 2018
Max@Math Revolution posted a new topic called How many perfect squares lie between 2^4 and 2^8, inclusive? in the Problem Solving forum
“[Math Revolution GMAT math practice question] How many perfect squares lie between 2^4 and 2^8, inclusive? A. 12 B. 13 C. 15 D. 18 E. 20”
December 12, 2018
Max@Math Revolution posted a reply to What is the solution set of (1+|x|)(1+x) > 0? in the Problem Solving forum
“=> Since 1+|x| > 0, we can divide both sides of the inequality by 1 + |x| to obtain 1+x > 0 or x > -1. Therefore, the answer is A. Answer: A”
December 12, 2018
Max@Math Revolution posted a new topic called If n is a positive integer, is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If n is a positive integer, is $$\sqrt{n+1}$$ an integer? 1) n is a multiple of 8 2) n is the product of 2 consecutive even numbers”
December 12, 2018
Max@Math Revolution posted a reply to [x] is the greatest integer less than or equal to x. What is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. [x] is ...”
December 12, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
December 12, 2018
Max@Math Revolution posted a new topic called The quadrilateral ABCD is a square with sides of length 12. in the Problem Solving forum
“https://i.postimg.cc/p5Kw4Bv5/12-11.png A. 30 B. 45 C. 60 D. 75 E. 90”
December 11, 2018
Max@Math Revolution posted a new topic called If x and y are positive integers and in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x and y are positive integers and $$y=\sqrt{5-x}$$ then y=? 1) x>1 2) y<2”
December 11, 2018
Max@Math Revolution posted a new topic called What is the solution set of (1+|x|)(1+x) > 0? in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the solution set of (1+|x|)(1+x) > 0? A. x > -1 B. x < -1 C. x < 0 D. x > 0 E. x > 1”
December 10, 2018
Max@Math Revolution posted a new topic called [x] is the greatest integer less than or equal to x. What is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] [x] is the greatest integer less than or equal to x. What is the value of x? 1) [x] = 2 2) x is an integer”
December 10, 2018
Max@Math Revolution posted a reply to Which of the following equations is satisfied by x=1+√2? in the Problem Solving forum
“=> x=1+√2 => x – 1 = √2 => (x-1)^2 = (√2)^2 => x^2 – 2x + 1 = 2 => x^2 – 2x - 1 = 0. Therefore, the answer is A. Answer: A”
December 10, 2018
Max@Math Revolution posted a reply to Tom saved $10,000 at a constant compound interest rate of r in the Problem Solving forum “=> After 10 years, we have 10,000(1+r)^10 = 20,000 or (1+r)^10 = 2. So, after 30 years the balance is 10,000(1+r)^30 = 10,000((1+r)^10)^3= 10,000*2^3 =10,000*8 = 80,000. Therefore, the answer is E. Answer: E” December 10, 2018 Max@Math Revolution posted a reply to Is x > y? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” December 10, 2018 Max@Math Revolution posted a reply to If a and b are integers, is a-b an even number? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” December 10, 2018 Max@Math Revolution posted a new topic called Which of the following equations is satisfied by x=1+√2? in the Problem Solving forum “[Math Revolution GMAT math practice question] Which of the following equations is satisfied by x=1+√2? A. x^2 – 2x - 1 = 0 B. x^2 – 2x + 1 = 0 C. x^2 + 2x - 1 = 0 D. x^2 + 2x + 1 = 0 E. x^2 – x - 2 = 0” December 7, 2018 Max@Math Revolution posted a reply to A triangle is formed by connecting three randomly chosen ver in the Problem Solving forum “=> Since the hexagon has 6 vertices, and we need to choose 3 of them to form the vertices of the triangle, the total number of triangles that can be formed is 6C3 = 20. Note that only the following 2 triangles do not include an edge of the hexagon: https://i.postimg.cc/GHpkvPNg/12-7.png ...” December 7, 2018 Max@Math Revolution posted a new topic called Is x > y? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] Is x > y? 1) x+y > 2 2) x^2 < 2y” December 7, 2018 Max@Math Revolution posted a reply to x is a positive number. What is the median of x, √x and x^ in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” December 7, 2018 Max@Math Revolution posted a new topic called Tom saved$10,000 at a constant compound interest rate of r in the Problem Solving forum
“[Math Revolution GMAT math practice question] Tom saved $10,000 at a constant compound interest rate of r percent annually. After 10 years, the balance is double the principal. What will be the balance 30 years after the deposit? A.$30,000 B. $40,000 C.$50,000 D. $60,000 ...” December 6, 2018 Max@Math Revolution posted a reply to How many positive two-digit integers have a remainder of 1 w in the Problem Solving forum “=> Let x be a positive integer with these properties. Since x = 2p + 1 for some integer p, the possible values of x are x = 1, 3, 5, 7, … . Since x = 3q + 2 some integer q, the possible values of x are x = 2, 5, 8, 11, … . Since x = 5r + 4 for some integer 4, the possible values of x ...” December 6, 2018 Max@Math Revolution posted a new topic called If a and b are integers, is a-b an even number? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If a and b are integers, is a-b an even number? 1) a^2b^2 is an even number 2) a^2+2b^2 is an even number” December 6, 2018 Max@Math Revolution posted a reply to n is a positive integer. Is n divisible by 3? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” December 6, 2018 Max@Math Revolution posted a new topic called A triangle is formed by connecting three randomly chosen ver in the Problem Solving forum “[Math Revolution GMAT math practice question] A triangle is formed by connecting three randomly chosen vertices of a hexagon. What is the probability that at least one of the sides of the triangle is also a side of the hexagon? A. 4/5 B. 5/6 C. 7/8 D. 8/9 E. ...” December 5, 2018 Max@Math Revolution posted a reply to If n is a positive integer, which of the following could be in the Problem Solving forum “=> Recall that x^3 – y^3 = (x-y)(x^2+xy+y^2).’ Now, (n+1)^3 - n^3 = ( n + 1 – n ) ( (n+1)^2 + (n+1)n + n^2 ) = (n+1)^2 + (n+1)n + n2 = n^2 + 2n + 1 + n^2 + n + n2 = 3n^2 + 3n + 1 = 3n(n+1) + 1 Thus (n+1)^3 - n^3 has remainder 1 when it is divided by 3. 631 is the only answer ...” December 5, 2018 Max@Math Revolution posted a new topic called x is a positive number. What is the median of x, √x and x^2? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] x is a positive number. What is the median of x, √x and x^2? 1) x^2=x 2) x^2+x+1=3x” December 5, 2018 Max@Math Revolution posted a reply to Is x + 1/x > 2? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” December 5, 2018 Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum “To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...” December 5, 2018 Max@Math Revolution posted a new topic called How many positive two-digit integers have a remainder of 1 w in the Problem Solving forum “[Math Revolution GMAT math practice question] How many positive two-digit integers have a remainder of 1 when divided by 2, a remainder of 2 when divided by 3, and a remainder of 4 when divided by 5? A. 1 B. 2 C. 3 D. 4 E. 5” December 4, 2018 Max@Math Revolution posted a new topic called n is a positive integer. Is n divisible by 3? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] n is a positive integer. Is n divisible by 3? 1) 36/n is divisible by 3 2) 27/n is divisible by 3” December 4, 2018 Max@Math Revolution posted a new topic called If n is a positive integer, which of the following could be in the Problem Solving forum “[Math Revolution GMAT math practice question] If n is a positive integer, which of the following could be the value of (n+1)^3 - n^3? A. 629 B. 630 C. 631 D. 632 E. 633” December 3, 2018 Max@Math Revolution posted a new topic called Is x + 1/x > 2? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] Is x + 1/x > 2? 1) x > 0 2) x ≠ 1” December 3, 2018 Max@Math Revolution posted a reply to If x^2=x+1, then x^4=? in the Problem Solving forum “=> x^4 = (x^2)^2 = (x+1)^2 = x^2 + 2x + 1 = (x + 1) + 2x + 1 = 3x + 2. Therefore, the answer is A. Answer: A” December 3, 2018 Max@Math Revolution posted a reply to The equation of a circle in the x-y coordinate plane is x^2 in the Problem Solving forum “=> We need to find all pairs of integers (a,b) such that a^2 + b^2 = 25. These are: (5,0), (4,3), (3,4), (0,5), (-3,4), (-4,3), (-5,0), (-4,-3), (-3,-4), (0,-5), (3,-4) and (4,-3). Thus, there are 12 such points that lie on the circle. Therefore, the answer is E. Answer: E” December 3, 2018 Max@Math Revolution posted a reply to If k is a positive integer and n=(k-1)k(k+1), is n a multipl in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” December 3, 2018 Max@Math Revolution posted a reply to If m and n are positive integers, what is the greatest commo in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since two ...” December 3, 2018 Max@Math Revolution posted a new topic called If x^2=x+1, then x^4=? in the Problem Solving forum “[Math Revolution GMAT math practice question] If x^2=x+1, then x^4=? A. 3x+2 B. 3x-2 C. 2x+3 D. 2x-3 E. 3x+4” November 30, 2018 Max@Math Revolution posted a reply to A club has 10 members. One president and two vice-presidents in the Problem Solving forum “=> The number of ways to choose one president out of 10 people is 10C1 = 10. The number of ways to choose two vice-presidents out of the remaining 9 people is 9C2 = (9*8)/(1*2) = 36. Thus, the number of ways to choose one president and two vice-presidents out of 10 people is 10 * 36 = 360. ...” November 30, 2018 Max@Math Revolution posted a new topic called If k is a positive integer and n=(k-1)k(k+1), is n a multipl in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If k is a positive integer and n=(k-1)k(k+1), is n a multiple of 8? 1) k is an odd number 2) k = 1” November 30, 2018 Max@Math Revolution posted a reply to If n is a positive integer, is √17n an integer? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Modifying ...” November 30, 2018 Max@Math Revolution posted a new topic called The equation of a circle in the x-y coordinate plane is x^2 in the Problem Solving forum “[Math Revolution GMAT math practice question] The equation of a circle in the x-y coordinate plane is x^2+y^2=25. How many points of the form (a,b), where a and b are integers, lie on this circle? A. 4 B. 6 C. 8 D. 10 E. 12” November 29, 2018 Max@Math Revolution posted a reply to If 1+2+2^2+... +2^n=2^{n+1}-1, what is the largest prime fac in the Problem Solving forum “=> 1+2+2^2+... +2^7 = 2^8 – 1 = (2^4+1)(2^4-1) = (2^4+1)(2^2+1)(2^2-1) = (2^4+1)(2^2+1)(2+1)(2-1) = 17*5*3. 17 is the largest prime factor of 1+2+2^2+... +2^7. Therefore, D is the answer. Answer: D ” November 29, 2018 Max@Math Revolution posted a new topic called If m and n are positive integers, what is the greatest commo in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If m and n are positive integers, what is the greatest common divisor of m and n? 1) m=n+1 2) m*n is divisible by 2” November 29, 2018 Max@Math Revolution posted a reply to In the x-y plane, line l passes through points (-1,-1) and ( in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” November 29, 2018 Max@Math Revolution posted a new topic called A club has 10 members. One president and two vice-presidents in the Problem Solving forum “[Math Revolution GMAT math practice question] A club has 10 members. One president and two vice-presidents are elected. In how many ways can they be selected? A. 240 B. 280 C. 300 D. 320 E. 360” November 28, 2018 Max@Math Revolution posted a reply to Let A=2^50, B=3^30, and C=4^20. Which of the following is tr in the Problem Solving forum “=> A = 2^50 = (2^5)^10 = (32)^10 B = 3^30 = (3^3)^10 = (27)^10 C = 4^20 = (4^2)^10 = (16)^10 Thus, (16)^10 < (27)^10 < (32)^10 and C < B < A. Therefore, the answer is E. Answer: E” November 28, 2018 Max@Math Revolution posted a new topic called If n is a positive integer, is √17n an integer? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If n is a positive integer, is √17n an integer? 1) 68n is the square of an integer. 2) n/68 is the square of an integer.” November 28, 2018 Max@Math Revolution posted a reply to If x and y are positive integers, is √15xy an integer? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” November 28, 2018 Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum “To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...” November 28, 2018 Max@Math Revolution posted a new topic called If 1+2+2^2+... +2^n=2^{n+1}-1, what is the largest prime fac in the Problem Solving forum “[Math Revolution GMAT math practice question] If 1+2+2^2+... +2^n=2^{n+1}-1, what is the largest prime factor of 1+2+2^2+... +2^7? A. 3 B. 5 C. 13 D. 17 E. 19” November 27, 2018 Max@Math Revolution posted a new topic called In the x-y plane, line l passes through points (-1,-1) and ( in the Data Sufficiency forum “[Math Revolution GMAT math practice question] In the x-y plane, line l passes through points (-1,-1) and (3,k). What is the value of k? 1) The y-intercept of line l is 1 2) The slope of line l is 2” November 27, 2018 Max@Math Revolution posted a new topic called Let A=2^50, B=3^30, and C=4^20. Which of the following is tr in the Problem Solving forum “[Math Revolution GMAT math practice question] Let A=2^50, B=3^30, and C=4^20. Which of the following is true? A. A < B < C B. A < C < B C. B < A < C D. B < C < A E. C < B < A” November 26, 2018 Max@Math Revolution posted a new topic called If x and y are positive integers, is √15xy an integer? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If x and y are positive integers, is $$\sqrt{15xy}$$ an integer? 1) xy is a multiple of 15 2) x and y are prime numbers” November 26, 2018 Max@Math Revolution posted a reply to Find x^4 + 1/x^4 if x – 1/x = 2. in the Problem Solving forum “=> Now, 2^2=(x-1/x)^2 = x^2 - 2x(1/x) + 1/x^2 = x^2 + 1/x^2 – 2. Therefore, x^2 + 1/x^2 = 4+2=6. Squaring both sides gives 6^2=( x^2 + 1/x^2 )^2 = x^4 + 2x^2(1/x^2) + 1/x^4 = x^4 + 1/x^4 + 2. Thus, x^4 + 1/x^4 = 36-2=34. Therefore, the answer is D. Answer: D” November 26, 2018 Max@Math Revolution posted a reply to What is the sum of the prime factors of 2^8-1? in the Problem Solving forum “=> 2^8-1 = (2^4+1)(2^4-1) = (2^4+1)(2^2+1)(2^2-1) = (2^4+1)(2^2+1)(2+1)(2-1) = 17*5*3*1. Thus, the sum of prime factors of 2^8-1 is 17 + 5 + 3 = 25. Therefore, the answer is E. Answer: E” November 26, 2018 Max@Math Revolution posted a reply to Is x^3-4x>0？ in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” November 26, 2018 Max@Math Revolution posted a reply to If x and y are positive, is 1<x<y? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” November 26, 2018 Max@Math Revolution posted a new topic called Find x^4 + 1/x^4 if x – 1/x = 2. in the Problem Solving forum “[Math Revolution GMAT math practice question] Find x^4 + 1/x^4 if x – 1/x = 2. A. 14 B. 17 C. 25 D. 34 E. 36” November 23, 2018 Max@Math Revolution posted a reply to Find the units digit of 3^{2018} - 2^{2018}. in the Problem Solving forum “=> The units digit is the remainder when 3^{2018} - 2^{2018} is divided by 10. The remainders when powers of 3 are divided by 10 are 3^1: 3, 3^2: 9, 3^3: 7, 3^4: 1, 3^5: 3, … So, the units digits of 3^n have period 4: they form the cycle 3 -> 9 -> 7 -> 1. Thus, ...” November 23, 2018 Max@Math Revolution posted a new topic called Is x^3-4x>0？ in the Data Sufficiency forum “[Math Revolution GMAT math practice question] Is x^3-4x>0？ 1) x > 2 2) x > -2” November 23, 2018 Max@Math Revolution posted a reply to If n is an integer greater than 1, what is the value of n? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” November 23, 2018 Max@Math Revolution posted a new topic called What is the sum of the prime factors of 2^8-1? in the Problem Solving forum “[Math Revolution GMAT math practice question] What is the sum of the prime factors of 2^8-1? A. 8 B. 16 C. 19 D. 22 E. 25” November 22, 2018 Max@Math Revolution posted a reply to A store sold 72 watches for$a2,34b, where a2,34b is a 5-dig in the Problem Solving forum
“=> Since a234b is a multiple of 72, a234b is a multiple of both 8 and 9. The last three digits 34b of a234b form a multiple of 8. So, we must have b = 4 since 344 is the only 3-digit multiple of 8 beginning with the digits, 34. Since a234b is a multiple of 9, a + 2 + 3 + 4 + b = a + 2 + 3 + ...”
November 22, 2018
Max@Math Revolution posted a new topic called If x and y are positive, is 1<x<y? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x and y are positive, is 1 < x < y? 1) √x < x < y 2) 1 < √x < y”
November 22, 2018
Max@Math Revolution posted a reply to If p, q and r are prime, with p < q < r, p=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
November 22, 2018
Max@Math Revolution posted a new topic called Find the units digit of 3^{2018} - 2^{2018}. in the Problem Solving forum
“[Math Revolution GMAT math practice question] Find the units digit of 3^{2018} - 2^{2018}. A. 1 B. 3 C. 5 D. 7 E. 9”
November 21, 2018
Max@Math Revolution posted a reply to What is the area of a regular hexagon with side-length 2? in the Problem Solving forum
“=> https://i.postimg.cc/zHbWSMq1/11-21.png The area of an equilateral triangle with side-length a is (√3/4)a^2. So, the area of an equilateral triangle with side-length 2 is (√3/4)2^2 = (√3/4)4 = √3. Thus, the area of a regular hexagon with side-length 2 is 6√3. Therefore, the ...”
November 21, 2018
Max@Math Revolution posted a new topic called If n is an integer greater than 1, what is the value of n? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If n is an integer greater than 1, what is the value of n? 1) n is a prime number 2) (n+2)/n is an integer”
November 21, 2018
Max@Math Revolution posted a reply to If n is an integer between 30 and 50 inclusive, what is the in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
November 21, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
November 21, 2018
Max@Math Revolution posted a new topic called A store sold 72 watches for $a2,34b, where a2,34b is a 5-dig in the Problem Solving forum “[Math Revolution GMAT math practice question] A store sold 72 watches for$a2,34b, where a2,34b is a 5-digit integer. What is the value of a + b? A. 5 B. 6 C. 7 D. 8 E. 9”
November 20, 2018
Max@Math Revolution posted a new topic called If p, q and r are prime, with p < q < r, p=? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If p, q and r are prime, with p < q < r, p=? 1) (pq)^3=216 2) (pr)^3=1000”
November 20, 2018
Max@Math Revolution posted a new topic called What is the area of a regular hexagon with side-length 2? in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the area of a regular hexagon with side-length 2? A. √2. B. √3. C. 2√2. D. 2√3 E. 6√3”
November 19, 2018
Max@Math Revolution posted a new topic called If n is an integer between 30 and 50 inclusive, what is the in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If n is an integer between 30 and 50 inclusive, what is the value of n? 1) When n is divided by 8, the remainder is 7 2) When n is divided by 16, the remainder is 7”
November 19, 2018
Max@Math Revolution posted a reply to If 1/x(x-1)+1/x(x+1)=1/(x+1)(x-1), what is the value of x? in the Problem Solving forum
“=> 1/x(x-1)+1/x(x+1)=1/(x+1)(x-1) => (x+1) + (x-1) = x, by multiplying both sides with x(x+1)(x-1) => 2x = x => x = 0. However, x = 0 is an erroneous solution since it gives both fractions on the right-hand side denominators of 0. Therefore, the answer is E. Answer: E”
November 19, 2018
Max@Math Revolution posted a reply to If xy : yz : zx = 1:2:3, then what is x : y : z ? in the Problem Solving forum
“=> xy : yz : zx = xyz/z : xyz/x: xyz/ y = 1/z : 1/x : 1/y = 1:2:3 => z : x : y = 1 : 1/2 : 1/3 = 6 : 3 : 2 => x : y : z = 3 : 2 : 6 Therefore, the answer is B. Answer: B”
November 19, 2018
Max@Math Revolution posted a reply to If f(x)=x^2 when x < 0 and f(x)=x when x ≥ 0, what is t in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
November 19, 2018
Max@Math Revolution posted a reply to Is the 5-digit positive integer abc000 divisible by 24? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 19, 2018
Max@Math Revolution posted a new topic called If 1/x(x-1)+1/x(x+1)=1/(x+1)(x-1), what is the value of x? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 1/x(x-1)+1/x(x+1)=1/(x+1)(x-1), what is the value of x? A. √2 B. √3 C. 0 D. 4 E. No solution”
November 16, 2018
Max@Math Revolution posted a reply to The range of set X is 9 and the range of set Y is 18. Which in the Problem Solving forum
“=> The range of a union is greater than or equal to the maximum of the ranges of the two sets. Thus, the range of the union of X and Y is greater than or equal to 18. Therefore, the answer is A. Answer: A”
November 16, 2018
Max@Math Revolution posted a new topic called If f(x)=x^2 when x < 0 and f(x)=x when x ≥ 0, what is the va in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If f(x)=x^2 when x < 0 and f(x)=x when x ≥ 0, what is the value of f(a)? 1) |a|=1 2) a^2-a = 0”
November 16, 2018
Max@Math Revolution posted a reply to Is |x|/x equal to -1? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 16, 2018
Max@Math Revolution posted a new topic called If xy : yz : zx = 1:2:3, then what is x : y : z ? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If xy : yz : zx = 1:2:3, then what is x : y : z ? A. 2 : 3 : 6 B. 3 : 2 : 6 C. 6 : 2 : 3 D. 6 : 3 : 2 E. 3 : 6 : 2”
November 15, 2018
Max@Math Revolution posted a reply to If xy ≠ 0 and x^2+4y^2=4xy, (x+y)/(x-y)=? in the Problem Solving forum
“=> x^2+4y^2=4xy => x^2-4xy+4y^2=0 => (x-2y)^2=0 => x=2y Thus, (x+y)/(x-y) = (2y+y)/(2y-y) = 3y/y = 3. Therefore, E is the answer. Answer: E”
November 15, 2018
Max@Math Revolution posted a new topic called Is the 5-digit positive integer abc000 divisible by 24? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is the 5-digit positive integer abc000 divisible by 24? 1) The 3-digit integer abc is divisible by 8. 2) The 3-digit integer abc is divisible by 3.”
November 15, 2018
Max@Math Revolution posted a reply to When m and n are positive integers, is m!*n! an integer squa in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
November 15, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
November 15, 2018
Max@Math Revolution posted a new topic called The range of set X is 9 and the range of set Y is 18. Which in the Problem Solving forum
“[Math Revolution GMAT math practice question] The range of set X is 9 and the range of set Y is 18. Which of the following cannot be the range of the union of sets X and Y? A. 9 B. 18 C. 27 D. 36 E. 45”
November 14, 2018
Max@Math Revolution posted a reply to What is the area of a regular octagon with side-length 2? in the Problem Solving forum
“=> https://i.postimg.cc/k2MrtpM0/11-14.png The above figure shows that the octagon can be divided up into one square of side-length 2, 4 rectangles of side-lengths 2 and √2, and 4 right-angled isosceles triangles with equal sides of length √2. Thus its area is the sum of the areas of ...”
November 14, 2018
Max@Math Revolution posted a new topic called Is |x|/x equal to -1? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is |x|/x equal to -1? 1) x>0 2) x<1”
November 14, 2018
Max@Math Revolution posted a reply to What is the value of f(10)? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. When asked ...”
November 14, 2018
Max@Math Revolution posted a new topic called If xy ≠ 0 and x^2+4y^2=4xy, (x+y)/(x-y)=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If xy ≠ 0 and x^2+4y^2=4xy, (x+y)/(x-y)=? A. 1 B. √2 C. √3 D. 2 E. 3”
November 13, 2018
Max@Math Revolution posted a new topic called When m and n are positive integers, is m!*n! an integer squa in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] When m and n are positive integers, is m!*n! an integer squared? 1) m = n + 1 2) m is an integer squared”
November 13, 2018
Max@Math Revolution posted a new topic called What is the area of a regular octagon with side-length 2? in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the area of a regular octagon with side-length 2? A. 4 + 4 √2. B. 8 + 8 √2. C. 16 + 16 √2. D. 16 E. 32”
November 12, 2018
Max@Math Revolution posted a new topic called What is the value of f(10)? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] What is the value of f(10)? 1) f(x) = 2 for 0 ≤ x < 3 2) f(x+3) = 2f(x)”
November 12, 2018
Max@Math Revolution posted a reply to If a cube A’s volume is 216 times of a cube B’s, the cub in the Problem Solving forum
“=> If the proportion between sides of cubes is a:b, the proportion between surface areas is a^2 : b^2 and the proportion between volumes is a^3 : b^3. Since 216 = 63, the proportion is 216 : 1 = 6^3 : 1. Thus the surface area of the cube A to that of the cube B is 6^2 : 1 = 36 : 1 Therefore, ...”
November 12, 2018
Max@Math Revolution posted a reply to Which of the following are roots of an equation 10x^{-2}+x^{ in the Problem Solving forum
“=> 10x^{-2}+x^{-1}-21=0 => 10+x-21x^2=0 by multiplying x^2 => 21x^2-x-10=0 by multiplying (-1) => (3x+2)(7x-5)=0 => x = -2/3 or x = 5/7 Therefore, the answer is A. Answer: A ”
November 12, 2018
Max@Math Revolution posted a reply to If n is contained in the set A, n+5 is contained in set A. I in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 12, 2018
Max@Math Revolution posted a reply to What is the units digit of a positive integer n? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
November 12, 2018
Max@Math Revolution posted a new topic called If a cube A’s volume is 216 times of a cube B’s, the cube A’ in the Problem Solving forum
“[Math Revolution GMAT math practice question] If a cube A’s volume is 216 times of a cube B’s, the cube A’s surface area is how many times of the cube B’s? A. 4 B. 8 C. 16 D. 25 E. 36”
November 9, 2018
Max@Math Revolution posted a reply to A car and a bicycle traveled in the same direction along the in the Problem Solving forum
“=> Since the car travelled for 15 minutes with the speed 40 mph, it moved 10 miles. It take 20 minutes the bicycle to travel 10 miles with the speed 30 mph. Therefore, the answer is B. Answer: B”
November 9, 2018
Max@Math Revolution posted a new topic called If n is contained in the set A, n+5 is contained in set A. I in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If n is contained in the set A, n+5 is contained in set A. Is 50 contained in set A? 1) 30 is contained in the set A. 2) 100 is contained in the set S”
November 9, 2018
Max@Math Revolution posted a reply to Machine A takes 20 minutes and B takes 15 minutes to warm up in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 9, 2018
Max@Math Revolution posted a new topic called Which of the following are roots of an equation 10x^{-2}+x^{ in the Problem Solving forum
“[Math Revolution GMAT math practice question] Which of the following are roots of an equation 10x^{-2}+x^{-1}-21=0 A. -2/3 or 5/7 B. -2/3 or 7/5 C. 2/3 or -5/7 D. 2/3 or -7/5 E. 3/2 or 5/7”
November 8, 2018
Max@Math Revolution posted a reply to [x] is the greatest integer less than or equal x, what is th in the Problem Solving forum
“=> Since 5 = √25 < √30 < √36 = 6, we have [√30] = 5. Since 6 = √36 < √40 < √49 = 7, we have [√40] = 6 Since 7 = √49 < √50 < √64 = 8, we have [√50] = 7 Thus [√30]+[√40]+[√50] = 18. Therefore, D is the answer. Answer: D”
November 8, 2018
Max@Math Revolution posted a new topic called What is the units digit of a positive integer n? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] What is the units digit of a positive integer n? 1) n is a common multiple of 13 and 14. 2) n is a common multiple of 13 and 15.”
November 8, 2018
Max@Math Revolution posted a reply to What is the value of A? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
November 8, 2018
Max@Math Revolution posted a new topic called A car and a bicycle traveled in the same direction along the in the Problem Solving forum
“[Math Revolution GMAT math practice question] A car and a bicycle traveled in the same direction along the equal route at their constant speed rates of 40 miles per hour and 30 miles per hour, respectively. After 15 minutes the car passed the bicycle, the car reaches a waiting point, how long it ...”
November 7, 2018
Max@Math Revolution posted a reply to | 1 - | 2 - | 3 - | 4 – π | | | | in the Problem Solving forum
“=> | 1 - | 2 - | 3 - | 4 – π | | | | = | 1 - | 2 - | 3 – ( 4 – π ) | | | = | 1 - | 2 - | π - 1 | | | = | 1 - | 2 – ( π - 1 ) | | = | 1 - | 3 – π | | = | 1 – ( π - 3 ) | = | 4 – π | = 4 – π Therefore, the answer is E. Answer: E”
November 7, 2018
Max@Math Revolution posted a new topic called Machine A takes 20 minutes and B takes 15 minutes to warm up in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Machine A takes 20 minutes and B takes 15 minutes to warm up. The machine A produces 300 pins per 1 minute and the machine B produces 200 parts per 1 minute. Including the time for warming up, is the number of pins produced by machine A smaller than ...”
November 7, 2018
Max@Math Revolution posted a reply to Is x^2>xy? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 7, 2018
Max@Math Revolution posted a new topic called [x] is the greatest integer less than or equal x, what is th in the Problem Solving forum
“[Math Revolution GMAT math practice question] [x] is the greatest integer less than or equal x, what is the value of [√30]+[√40]+[√50]? A. 12 B. 15 C. 16 D. 18 E. 20”
November 6, 2018
Max@Math Revolution posted a new topic called What is the value of A? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] What is the value of A? 1) The four-digit number A77A is a multiple of 4. 2) The four-digit number A77A is a multiple of 9.”
November 6, 2018
Max@Math Revolution posted a new topic called | 1 - | 2 - | 3 - | 4 – π | | | | in the Problem Solving forum
“[Math Revolution GMAT math practice question] | 1 - | 2 - | 3 - | 4 – π | | | | A. π B. π - 1 C. π - 2 D. π - 3 E. 4 - π”
November 5, 2018
Max@Math Revolution posted a new topic called Is x^2>xy? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is x^2>xy? 1) x>y 2) y>0”
November 5, 2018
Max@Math Revolution posted a reply to If 1/3 = 1/m + 1/n, where m and n are different positive int in the Problem Solving forum
“=> 1/3 = 1/m + 1/n => mn = 3n + 3m => mn – 3m – 3n = 0 => mn – 3m – 3n + 9 = 9 => (m – 3)(n – 3) = 9 The possible pairs of values (m-3, n-3) giving a product of 9 are (1,9), (9,1) and (3,3). Case 1: m – 3 = 1, n – 3 = 9. We have m = 4, n = 12 and m + n = ...”
November 5, 2018
Max@Math Revolution posted a reply to The four-digit number 486X, where X is the units digit of 48 in the Problem Solving forum
“=> Since X is a one-digit integer, 0 ≤ X ≤ 9. 36 = 4*9, so 486X is a multiple of both 4 and 9. Since 486X is a multiple of 4, 6*10 + X must be a multiple of 4. Thus, X is one of values 0, 4 and 8. In addition, since 486X is a multiple of 9, the sum of all of its digits, 4 + 8 + 6 + ...”
November 5, 2018
Max@Math Revolution posted a reply to If the average (arithmetic mean) of p, q, and r is 6, what i in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 5, 2018
Max@Math Revolution posted a reply to When a positive integer n is divided by 19, what is the rema in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
November 5, 2018
Max@Math Revolution posted a new topic called If 1/3 = 1/m + 1/n, where m and n are different positive int in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 1/3 = 1/m + 1/n, where m and n are different positive integers, what is the value of m+n? A. 9 B. 12 C. 16 D. 18 E. 20”
November 2, 2018
Max@Math Revolution posted a reply to 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 in the Problem Solving forum
“=> 12 is the smallest multiple of 3 and 198 is the largest multiple of 3 between 10 and 200, inclusive. Thus, the number of multiples of 3 between 10 and 200, inclusive is ( 198 – 12 ) / 3 + 1 = 186/3 + 1 = 62 + 1 = 63 Therefore, the answer is D. Answer: D”
November 2, 2018
Max@Math Revolution posted a new topic called If the average (arithmetic mean) of p, q, and r is 6, what i in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If the average (arithmetic mean) of p, q, and r is 6, what is the value of r? 1) p=-r 2) p=-q”
November 2, 2018
Max@Math Revolution posted a reply to If m and n are integers, is m+m^2-n an even number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 2, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
November 2, 2018
Max@Math Revolution posted a new topic called The four-digit number 486X, where X is the units digit of 48 in the Problem Solving forum
“[Math Revolution GMAT math practice question] The four-digit number 486X, where X is the units digit of 486X, is a multiple of 36. What is the value of X? A. 0 B. 2 C. 4 D. 6 E. 8”
November 1, 2018
Max@Math Revolution posted a reply to m and n are two different numbers selected from the integer in the Problem Solving forum
“=> To obtain the maximum value for mn/(m-n), m-n must be the smallest possible positive number and mn must be the largest possible product. mn is largest when both m and n are largest, that is, when m = 20 and n – 19. In this case, m – n = 1 is as small as possible and mn = 20*19 = 380 ...”
November 1, 2018
Max@Math Revolution posted a new topic called When a positive integer n is divided by 19, what is the rema in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] When a positive integer n is divided by 19, what is the remainder? 1) n-17 is a multiple of 19 2) n-19 is a multiple of 17”
November 1, 2018
Max@Math Revolution posted a reply to The terms of a sequence are defined by an=an-2+3. Is 411 a t in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 1, 2018
Max@Math Revolution posted a new topic called 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 in the Problem Solving forum
“[Math Revolution GMAT math practice question] 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 lie between 10 and 200, inclusive? A. 54 B. 57 C. 60 D. 63 E. 66”
October 31, 2018
Max@Math Revolution posted a reply to A set of pencils can be evenly shared between 2, 3, 4, 5 and in the Problem Solving forum
“=> The smallest possible number of pencils must be the least common multiple of 2, 3, 4, 5 and 6. 2 = 2^1, 3 = 3^1, 4 = 2^2, 5 = 5^1 and 6 = 2^1*3^1. We multiply the maximum powers of each base to obtain the least common multiple 2^2*3^1*5^1 = 60. Therefore, the answer is E. Answer: E”
October 31, 2018
Max@Math Revolution posted a new topic called If m and n are integers, is m+m^2-n an even number? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If m and n are integers, is m+m^2-n an even number? 1) m is an even number 2) n is an even number”
October 31, 2018
Max@Math Revolution posted a reply to (x^2-3x+2)(y^2-5y+6)=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 31, 2018
Max@Math Revolution posted a new topic called m and n are two different numbers selected from the integer in the Problem Solving forum
“[Math Revolution GMAT math practice question] m and n are two different numbers selected from the integers between 11 and 20, inclusive. What is the maximum value of mn / (m-n)? A. 320 B. 340 C. 360 D. 380 E. 400”
October 31, 2018
Max@Math Revolution posted a new topic called The terms of a sequence are defined by an=an-2+3. Is 411 a t in the Data Sufficiency forum
“n=an-2+3. Is 411 a term of the sequence? 1) a1=111 2) a2=112”
October 31, 2018
Max@Math Revolution posted a new topic called A set of pencils can be evenly shared between 2, 3, 4, 5 and in the Problem Solving forum
“[Math Revolution GMAT math practice question] A set of pencils can be evenly shared between 2, 3, 4, 5 and 6 children with no pencils left over. What is the smallest possible number of pencils in the set? A. 6 B. 12 C. 15 D. 30 E. 60”
October 29, 2018
Max@Math Revolution posted a new topic called (x^2-3x+2)(y^2-5y+6)=? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] (x^2-3x+2)(y^2-5y+6)=? 1) x=1 2) y=1”
October 29, 2018
Max@Math Revolution posted a reply to x and y are non-negative integers. If xy+2x+3y=0, then y=? in the Problem Solving forum
“=> xy+2x+3y=0 => xy+2x+3y+6=6 => (x+3)(y+2)=6 Since x and y are integers, x+3 and y+2 are integers. The possible pairs (x+3,y+2) are as follows: ( x+3, y+2 ) = (1,6), (2,3), (3,2), (6,1), (-1,-6), (-2,-3), (-3,-2) and (-6,-1). The corresponding pairs (x,y) are: (x,y) = (-2,4), ...”
October 29, 2018
Max@Math Revolution posted a reply to If |x-6|=2x, then x=? in the Problem Solving forum
“=> |x-6|=2x => x-6 = ±2x => -6 = -x ±2x => -6 = x or -6 = -3x => x = -6 or x = 2 However, 2x = |x-6| ≥ 0. Thus, we have the unique solution x=2. Therefore, the answer is D. Answer: D”
October 29, 2018
Max@Math Revolution posted a reply to n is an integer. Is n(n+2) a multiple of 8? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 29, 2018
Max@Math Revolution posted a reply to If the average (arithmetic mean) of 5 numbers is 20, what is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Note that ...”
October 29, 2018
Max@Math Revolution posted a new topic called x and y are non-negative integers. If xy+2x+3y=0, then y=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] x and y are non-negative integers. If xy+2x+3y=0, then y=? A. 0 B. 1 C. 2 D. 3 E. 4”
October 26, 2018
Max@Math Revolution posted a reply to Suppose f(x)=ax^4+bx^2+1, where a and b are constants. If f( in the Problem Solving forum
“=> f(3) =a(3)^4 + b(3)^2 + 1 = 81a + 9b + 1 = 9 f(-3) =a(-3)^4 + b(-3)^2 + 1 = 81a + 9b + 1 = f(3) = 9 Therefore, the answer is E. Answer: E”
October 26, 2018
Max@Math Revolution posted a new topic called n is an integer. Is n(n+2) a multiple of 8? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] n is an integer. Is n(n+2) a multiple of 8? 1) n is an even integer 2) n is a multiple of 4”
October 26, 2018
Max@Math Revolution posted a reply to For integers m and n, the operation △ is defined by m△n in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
October 26, 2018
Max@Math Revolution posted a new topic called If |x-6|=2x, then x=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If |x-6|=2x, then x=? A. -6 B. -4 C. 0 D. 2 E. 6”
October 25, 2018
Max@Math Revolution posted a reply to The range of set A is 24 and the range of set B is 20. What in the Problem Solving forum
“=> Note that the range of the combined set can’t be less than the maximum of the ranges of the two sets. The maximum of the ranges of the two sets is 24. So, the range of the combined set must be greater than or equal to 24. For example, if A = {0, 24} and B = { 0, 20 }, the combined ...”
October 25, 2018
Max@Math Revolution posted a new topic called If the average (arithmetic mean) of 5 numbers is 20, what is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If the average (arithmetic mean) of 5 numbers is 20, what is their standard deviation? 1) Their minimum is 20. 2) Their maximum is 20.”
October 25, 2018
Max@Math Revolution posted a reply to In the xy-plane, does the graph of y=ax^2+c intersect the x- in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 25, 2018
Max@Math Revolution posted a new topic called Suppose f(x)=ax^4+bx^2+1, where a and b are constants. If f( in the Problem Solving forum
“[Math Revolution GMAT math practice question] Suppose f(x)=ax^4+bx^2+1, where a and b are constants. If f(3)=9, what is the value of f(-3) ? A. -9 B. -3 C. 0 D. 3 E. 9”
October 24, 2018
Max@Math Revolution posted a reply to What is the number of roots of the equation (x^3-1)/(x^2+x+1 in the Problem Solving forum
“=> The original condition (x^3-1)/(x^2+x+1)=x is equivalent to x – 1 = x as shown below: (x^3-1)/(x^2+x+1)=x => (x-1) (x^2+x+1) / (x^2+x+1) = x by factoring => x – 1 = x But x – 1 = x has no solution. Therefore, the answer is E. Answer: E”
October 24, 2018
Max@Math Revolution posted a new topic called For integers m and n, the operation △ is defined by m△n = (m in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] For integers m and n, the operation $$\triangle$$ is defined by $$m\ \triangle\ n\ =\ \left(m-1\right)^2+\left(n+1\right)^2$$ What is the value of the integer x? $$\left(1\right)\ x\triangle1\ =4$$ $$\left(2\right)\ 1\triangle x=4$$”
October 24, 2018
Max@Math Revolution posted a reply to Is x^3-y^3 > x^2+xy+y^2? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 24, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
October 24, 2018
Max@Math Revolution posted a new topic called The range of set A is 24 and the range of set B is 20. What in the Problem Solving forum
“[Math Revolution GMAT math practice question] The range of set A is 24 and the range of set B is 20. What is the smallest possible range of sets A and B, combined? A. 20 B. 24 C. 40 D. 44 E. 48”
October 23, 2018
Max@Math Revolution posted a new topic called In the xy-plane, does the graph of y=ax^2+c intersect the x- in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] In the xy-plane, does the graph of y=ax^2+c intersect the x-axis? 1) a>0 2) c>0”
October 23, 2018
Max@Math Revolution posted a new topic called What is the number of roots of the equation (x^3-1)/(x^2+x+1 in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the number of roots of the equation (x^3-1)/(x^2+x+1)=x? A. 1 B. 2 C. 3 D. 4 E. no solution”
October 22, 2018
Max@Math Revolution posted a new topic called Is x^3-y^3 > x^2+xy+y^2? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is x^3-y^3 > x^2+xy+y^2? 1) x > y + 1 2) 0 < y < x”
October 22, 2018
Max@Math Revolution posted a reply to If -1<x<0, Which of the following is listed in ascendi in the Problem Solving forum
“=> We can find the correct order by plugging in a value for x. Suppose x = -1/2. Then -1 < x < 0, and x^2 = 1/4, x^-1 = -2 and x^-2 = 4. Thus, x^-1 < x < x^2 < 1 < x^-2 Therefore, the answer is A. Answer: A”
October 22, 2018
Max@Math Revolution posted a reply to If Sn=(Sn-1)-Sn-2, S1=1, and S2=2, then S6=? in the Problem Solving forum
“=> S3=(S2)^-S1=(2)^-1=1/2 S4=(S3)^-S2=(1/2)^-2=4 S5=(S4)^-S3=(4)^-1/2=1/2 S6=(S5)^-S4=(1/2)^-4=16 Therefore, the answer is E. Answer: E”
October 22, 2018
Max@Math Revolution posted a reply to Is 1+x+x^2+x^3+x^4+x^5+x^6 < 1/(1-x)? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 22, 2018
Max@Math Revolution posted a reply to If a and b are positive integers such that when a is divided in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 22, 2018
Max@Math Revolution posted a new topic called If -1<x<0, Which of the following is listed in ascending ord in the Problem Solving forum
“[Math Revolution GMAT math practice question] If -1<x<0, Which of the following is listed in ascending order? A. x^-1, x, x^2, 1, x^-2 B. x^-1, x^2, x, 1, x^-2 C. x^-2, x, x^2, 1, x^-1 D. x, x^-1, x^2, 1, x^-2 E. x^-1, x, x^2, x^-2, 1”
October 19, 2018
Max@Math Revolution posted a reply to If a rectangle’s length is a+b and its area is (1/a)+(1/b) in the Problem Solving forum
“=> Let x be the width of the rectangle. Then x(a+b) = 1/a + 1/b = (a+b)/ab. Thus, x = 1/ab. Therefore, the answer is E. Answer: E”
October 19, 2018
Max@Math Revolution posted a new topic called Is 1+x+x^2+x^3+x^4+x^5+x^6 < 1/(1-x)? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is 1+x+x^2+x^3+x^4+x^5+x^6 < 1/(1-x)? 1) x>0 2) x<1”
October 19, 2018
Max@Math Revolution posted a reply to If |X| is the number of elements in set X, and “∪” is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 19, 2018
Max@Math Revolution posted a new topic called If Sn=(Sn-1)-Sn-2, S1=1, and S2=2, then S6=? in the Problem Solving forum
“n=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=? A. 1/2 B. 1/4 C. 2 D. 4 E. 16”
October 18, 2018
Max@Math Revolution posted a reply to (1-1/10)(1-1/11)(1-1/12)…(1-1/100) =? in the Problem Solving forum
“=> (1-1/10)(1-1/11)(1-1/12)…(1-1/100) = (9/10)(10/11)(11/12)…(99/100) = 9/100. Therefore, C is the answer. Answer: C ”
October 18, 2018
Max@Math Revolution posted a new topic called If a and b are positive integers such that when a is divided in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If a and b are positive integers such that when a is divided by b, the remainder is 10, what is the value of b? 1) b > 10 2) b < 12”
October 18, 2018
Max@Math Revolution posted a reply to Is the sum of 7 different positive integers greater than or in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
October 18, 2018
Max@Math Revolution posted a new topic called If a rectangle’s length is a+b and its area is (1/a)+(1/b), in the Problem Solving forum
“[Math Revolution GMAT math practice question] If a rectangle’s length is a+b and its area is (1/a)+(1/b), what is its width? A. 1 B. a+b C. ab D. 1/(a+b) E. 1/ab”
October 17, 2018
Max@Math Revolution posted a reply to If A={x| x^3 > 8}, B={x| 1 < x^3 < 64}, C={x| x^3 & in the Problem Solving forum
“=> A∩B∩C is the set of all numbers that are in all three of the sets A, B and C. So, A∩B∩C = { x | x^3 > 8 and 1 < x^3 < 64 and x^3 < 27} = { x | 8 < x^3 < 27} Therefore, the answer is E. Answer: E ”
October 17, 2018
Max@Math Revolution posted a new topic called If |X| is the number of elements in set X, and “∪” is the un in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If |X| is the number of elements in set X, and “∪” is the union and “∩” is the intersection of 2 sets, what is the value of |A∩B|? 1) |A∪B|＝50 2) |B|=40”
October 17, 2018
Max@Math Revolution posted a reply to If |x+1|=2|x-1|, x=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 17, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
October 17, 2018
Max@Math Revolution posted a new topic called (1-1/10)(1-1/11)(1-1/12)…(1-1/100) =? in the Problem Solving forum
“[Math Revolution GMAT math practice question] (1-1/10)(1-1/11)(1-1/12)…(1-1/100) =? A. 1/10 B. 9/10 C. 9/100 D. 1/100 E. 9/50”
October 16, 2018
Max@Math Revolution posted a new topic called Is the sum of 7 different positive integers greater than or in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is the sum of 7 different positive integers greater than or equal to 48? 1) Their median is 9 2) The largest number is 12”
October 16, 2018
Max@Math Revolution posted a new topic called If A={x| x^3 > 8}, B={x| 1 < x^3 < 64}, C={x| x^3 < 27}, whi in the Problem Solving forum
“[Math Revolution GMAT math practice question] If A={x| x^3 > 8}, B={x| 1 < x^3 < 64}, C={x| x^3 < 27}, which inequality represents A∩B∩C? A. x^3 < 27 B. 1 < x^3 < 64 C. x^3 < 64 D. 1 < x^3 < 27 E. 8 < x^3 < 27”
October 15, 2018
Max@Math Revolution posted a new topic called If |x+1|=2|x-1|, x=? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If |x+1|=2|x-1|, x=? 1) x<1 2) x>0”
October 15, 2018
Max@Math Revolution posted a reply to If x+(1/x)=4, what is the value of x^2+(1/x^2)? in the Problem Solving forum
“=> Since (a+b)^2=a^2+b^2+2ab, a^2+b^2=(a+b)^2-2ab, and x^2 + 1/x^2 = ( x + 1/x )^2 – 2*x*(1/x) = 4^2 – 2 = 16 -2 = 14. Therefore, the answer is D. Answer: D”
October 15, 2018
Max@Math Revolution posted a reply to What is the solution of the equation (x-1)/(1-x) = 0? in the Problem Solving forum
“=> In order for a fraction to be zero, its numerator must be 0. This occurs when x = 1. However, if x = 1, then the denominator of this fraction is 0. Thus, 0 is an erroneous solution, and the equation has no solution. Therefore, the answer is E. Answer: E”
October 15, 2018
Max@Math Revolution posted a reply to When A and B are positive integers, is AB a multiple of 4? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 15, 2018
Max@Math Revolution posted a reply to The above figure shows a sector of a circle. What is the are in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. ...”
October 15, 2018
Max@Math Revolution posted a new topic called If x+(1/x)=4, what is the value of x^2+(1/x^2)? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If x+(1/x)=4, what is the value of x^2+(1/x^2)? A. 4 B. 10 C. 12 D. 14 E. 16”
October 12, 2018
Max@Math Revolution posted a reply to If 2 numbers are selected from the first 8 prime numbers, wh in the Problem Solving forum
“=> In order for the sum to be even, both primes selected must be odd. As 2 is the only even prime number, the number of selections with an even sum is equal to the number of ways to select 2 numbers from these 7 odd prime numbers, or 7C2. The total number of selections of 2 prime numbers ...”
October 12, 2018
Max@Math Revolution posted a new topic called When A and B are positive integers, is AB a multiple of 4? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] When A and B are positive integers, is AB a multiple of 4? 1) The greatest common divisor of A and B is 6 2) The least common multiple of A and B is 30”
October 12, 2018
Max@Math Revolution posted a reply to If x=0.abcabc........(a repeating infinite decimal), what is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
October 12, 2018
Max@Math Revolution posted a new topic called What is the solution of the equation (x-1)/(1-x) = 0? in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the solution of the equation (x-1)/(1-x) = 0? A. -1 B. 0 C. 1 D. 0 or 1 E. The equation has no solution.”
October 11, 2018
Max@Math Revolution posted a reply to The points (1,6) and (7,-2) are two vertices of one diagonal in the Problem Solving forum
“=> The length of the diagonal of the square is √{ (7-1)^2 + (6-(-2))^2 } = √100 = 10. The side-length of the square is 10/ √2 = 5 √2 since the side-length of a square is equal to the length of its diagonal divided by √2. Thus, the area of the square is (5 √2)^2 = 50. Therefore, ...”
October 11, 2018
Max@Math Revolution posted a new topic called The above figure shows a sector of a circle. What is the are in the Data Sufficiency forum
“https://i.postimg.cc/N9s6YHXC/11.11.png The above figure shows a sector of a circle. What is the area of the sector? 1) x = 120 2) AB=6√3”
October 11, 2018
Max@Math Revolution posted a reply to The terminal zeros of a number are the zeros to the right of in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
October 11, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
October 10, 2018
Max@Math Revolution posted a new topic called If 2 numbers are selected from the first 8 prime numbers, wh in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 2 numbers are selected from the first 8 prime numbers, what is the probability that the sum of the 2 numbers selected is an even number? A. 1/2 B. 1/3 C. 2/3 D. 1/4 E. 3/4”
October 10, 2018
Max@Math Revolution posted a reply to What is the greatest prime factor of 1+2+3+….+36? in the Problem Solving forum
“=> Since 1 + 2 + 3 + … + n = n(n+1)/2, we have 1 + 2 + 3 + … + 36 = (36*37)/2 = 18*37 = 2*32*37. Thus, 37 is the greatest prime factor of 2*3^2*37. Therefore, the answer is E. Answer: E ”
October 10, 2018
Max@Math Revolution posted a new topic called If x=0.abcabc........(a repeating infinite decimal), what is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x=0.abcabc........(a repeating infinite decimal), what is the value of a+b+c? 1) 1-x=0.123123123……. 2) 0.8 < x < 0.9”
October 10, 2018
Max@Math Revolution posted a reply to If x^2-3x=10, what is the value of x? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 10, 2018
Max@Math Revolution posted a new topic called The points (1,6) and (7,-2) are two vertices of one diagonal in the Problem Solving forum
“[Math Revolution GMAT math practice question] The points (1,6) and (7,-2) are two vertices of one diagonal of a square in the xy-plane. What is the area of the square? A. 16 B. 25 C. 32 D. 36 E. 50”
October 10, 2018
Max@Math Revolution posted a new topic called The terminal zeros of a number are the zeros to the right of in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] The terminal zeros of a number are the zeros to the right of its last nonzero digit. For example, 30,500 has two terminal zeros because there are two zeros to the right of its last nonzero digit, 5. How many terminal zeros does n! have? 1) n^2 – ...”
October 10, 2018
Max@Math Revolution posted a new topic called What is the greatest prime factor of 1+2+3+….+36? in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the greatest prime factor of 1+2+3+….+36? A. 2 B. 3 C. 9 D. 31 E. 37”
October 8, 2018
Max@Math Revolution posted a new topic called If x^2-3x=10, what is the value of x? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x^2-3x=10, what is the value of x? 1) x^2-4 = 0 2) x<6”
October 8, 2018
Max@Math Revolution posted a reply to ||2-3|-|2-5||=? in the Problem Solving forum
“=> ||2-3| - |2-5|| = ||-1| - |-3|| = | 1 – 3 | = | -2 | = 2. Therefore, the answer is B. Answer: B”
October 8, 2018
Max@Math Revolution posted a reply to Points A(1,4), B(2,2) and C(p,1) lie on the x-y coordinate p in the Problem Solving forum
“=> The slope of the line segment joining the two points (x1,y1) and (x2,y2) is (y1-y2)/(x1-x2). The product of the slopes of perpendicular lines is -1. The slope of the line AB is (4-2)/(1-2) = -2. Since the two lines AB and BC are perpendicular each other, the slope of BC, which is ...”
October 8, 2018
Max@Math Revolution posted a reply to If xy=y, |x|+|y|=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 8, 2018
Max@Math Revolution posted a reply to If p and q are prime numbers, is pq+1 an odd number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Modifying ...”
October 8, 2018
Max@Math Revolution posted a new topic called ||2-3|-|2-5||=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] ||2-3|-|2-5||=? A. 1 B. 2 C. 3 D. 4 E. 5”
October 5, 2018
Max@Math Revolution posted a reply to Tom’s Mom is five times as old as him. In 6 years, Tom’ in the Problem Solving forum
“=> We can set up this question using the IVY approach. “Is” can be converted to “=” and “times” can be converted to the multiplication sign “x”. Let m and t be Tom’s Mom’s age and Tom’s age now, respectively. Then m = 5t since Tom’s mom is five times as old as ...”
October 5, 2018
Max@Math Revolution posted a new topic called If xy=y, |x|+|y|=? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If xy=y, |x|+|y|=? 1) x=-1 2) y=0”
October 5, 2018
Max@Math Revolution posted a reply to If the integers p, q, r, and s satisfy p < q < r < in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
October 5, 2018
Max@Math Revolution posted a new topic called Points A(1,4), B(2,2) and C(p,1) lie on the x-y coordinate p in the Problem Solving forum
“[Math Revolution GMAT math practice question] Points A(1,4), B(2,2) and C(p,1) lie on the x-y coordinate plane. If lines AB and BC are perpendicular to each other, p=? A. -2 B. -1 C. 0 D. 1 E. 2”
October 4, 2018
Max@Math Revolution posted a reply to If 3 different numbers are selected from the first 8 prime n in the Problem Solving forum
“=> Suppose p, q and r are prime numbers. In order for p + q + r to be even, one of them must equal 2, since 2 is the only even prime number. Once 2 has been selected, there are 7 prime numbers remaining from which to select 2 numbers. Thus, the number of selections in which the sum of the ...”
October 4, 2018
Max@Math Revolution posted a new topic called If p and q are prime numbers, is pq+1 an odd number? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If p and q are prime numbers, is pq+1 an odd number? 1) p – q = 5 2) p = 7”
October 4, 2018
Max@Math Revolution posted a reply to Is x^3-x>0？ in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 4, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” Post in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
October 4, 2018
Max@Math Revolution posted a new topic called Tom’s Mom is five times as old as him. In 6 years, Tom’s Mo in the Problem Solving forum
“[Math Revolution GMAT math practice question] Tom’s Mom is five times as old as him. In 6 years, Tom’s Mom will be three times as old as him. How old is Tom now? A. 3 B. 4 C. 5 D. 6 E. 7”
October 3, 2018
Max@Math Revolution posted a reply to Five letters A, P, P, L and E are listed in a row. How many in the Problem Solving forum
“=> When we encounter “at least” in counting questions or probability questions, we should consider complementary counting. The total number of arrangements of the 5 letters is 5!/2! (5! Counts each arrangement of the two Ps 2! times). The number of arrangements with no letter between ...”
October 3, 2018
Max@Math Revolution posted a new topic called If the integers p, q, r, and s satisfy p < q < r < s, are th in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If the integers p, q, r, and s satisfy p < q < r < s, are they consecutive? 1) r-q=1 2) (p-q)(r-s)=1”
October 3, 2018
Max@Math Revolution posted a reply to If m and n are integers, is mn an odd integer? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 3, 2018
Max@Math Revolution posted a new topic called If 3 different numbers are selected from the first 8 prime n in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 3 different numbers are selected from the first 8 prime numbers, what is the probability that the sum of the 3 numbers selected is even? A. 1/4 B. 1/3 C. 1/2 D. 2/3 E. 3/8”
October 2, 2018
Max@Math Revolution posted a new topic called Is x^3-x>0？ in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is x^3-x>0？ 1) x>1. 2) x>0”
October 2, 2018
Max@Math Revolution posted a new topic called Five letters A, P, P, L and E are listed in a row. How many in the Problem Solving forum
“[Math Revolution GMAT math practice question] Five letters A, P, P, L and E are listed in a row. How many arrangements have at least one letter between the two Ps? A. 24 B. 30 C. 36 D. 42 E. 48”
October 1, 2018
Max@Math Revolution posted a new topic called If m and n are integers, is mn an odd integer? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If m and n are integers, is mn an odd integer? 1) m(n+1) is even 2) (m+1)n is even”
October 1, 2018
Max@Math Revolution posted a reply to When 2 people are selected at random from a group of 4 femal in the Problem Solving forum
“=> The probability that at least one female is selected is equal to 1 minus the probability that two males are selected. There are 4C2 ways of selecting 2 males from the four males and 8C2 ways of selecting 2 people from the group of 8. Therefore, the probability of selecting two males from ...”
October 1, 2018
Max@Math Revolution posted a reply to The 2 lines x+2y=3, 2x+py=q have infinitely many points of i in the Problem Solving forum
“=> If the 2 lines have infinitely many points of intersection, their equations must specify the same straight line. The equation x+2y=3 is equivalent to 2x+4y=6. So, p = 4 and q = 6. Therefore, the answer is E. Answer: E”
October 1, 2018
Max@Math Revolution posted a reply to Is |x+y|<|x|+|y|? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 1, 2018
Max@Math Revolution posted a reply to What is the standard deviation of a, b and c? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 1, 2018
Max@Math Revolution posted a new topic called When 2 people are selected at random from a group of 4 femal in the Problem Solving forum
“[Math Revolution GMAT math practice question] When 2 people are selected at random from a group of 4 females and 4 males, what is the probability that at least one female is selected? A. 5/14 B. 7/14 C. 9/14 D. 11/14 E. 13/14”
September 28, 2018
Max@Math Revolution posted a reply to What is the sum of the solutions of the equation (x-1)^2=|x- in the Problem Solving forum
“=> (x-1)^2=|x-1| => |x-1|^2=|x-1| => |x-1|^2-|x-1|=0 => |x-1| (|x-1|-1)=0 => |x-1| = 0 or |x-1|-1=0 => |x-1| = 0 or |x-1|=1 => x-1 = 0 or x-1=±1 => x=1 = 0 or x=1±1 => x=1, x=0 or x=2 The sum of the solutions is 0 + 1 + 2 = 3. Therefore, the answer is ...”
September 28, 2018
Max@Math Revolution posted a new topic called Is |x+y|<|x|+|y|? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is |x+y|<|x|+|y|? 1) x<0 2) y>0”
September 28, 2018
Max@Math Revolution posted a reply to When f(x)=ax^2+bx+c (a≠0), is x+1 a factor of f(x)? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
September 28, 2018
Max@Math Revolution posted a new topic called The 2 lines x+2y=3, 2x+py=q have infinitely many points of i in the Problem Solving forum
“[Math Revolution GMAT math practice question] The 2 lines x+2y=3, 2x+py=q have infinitely many points of intersection in the xy-plane. Which of the following could be the value of p? A. 0 B. 1 C. 2 D. 3 E. 4”
September 27, 2018
Max@Math Revolution posted a reply to The sequence Sn has the terms S1=1, S2=2, S3=6, S4=15, S5=31 in the Problem Solving forum
“=> We begin by writing out the terms of the sequence: S2-S1 = 2 -1 = 1=1^2 S3-S2 = 6 – 2 = 4 = 2^2 S4-S3 = 15 – 6 = 9 = 3^2 S5-S4 = 31-15 = 16 = 4^2 … Following the above pattern gives Sn-Sn-1 = (n-1)^2 Therefore, the answer is E. Answer: E”
September 27, 2018
Max@Math Revolution posted a new topic called What is the standard deviation of a, b and c? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] What is the standard deviation of a, b and c? 1) a^2+b^2+c^2 = 77 2) a+b+c =15”
September 27, 2018
Max@Math Revolution posted a reply to Is x>x/y? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
September 27, 2018
Max@Math Revolution posted a new topic called What is the sum of the solutions of the equation (x-1)^2=|x- in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the sum of the solutions of the equation (x-1)^2=|x-1|? A. -1 B. 0 C. 1 D. 2 E. 3”
September 26, 2018
Max@Math Revolution posted a reply to In the coordinate plane, what is the area of the region encl in the Problem Solving forum
“=> The region can be sketched in the xy-plane as shown below. https://i.postimg.cc/qN8b1vhh/image.png The area of the shaded triangle above is (1/2)(3-1)(4-2) = (1/2)*2*2 = 2 Therefore, B is the answer. Answer: B”
September 26, 2018
Max@Math Revolution posted a new topic called When f(x)=ax^2+bx+c (a0), is x+1 a factor of f(x)? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] When f(x)=ax^2+bx+c (a≠0), is x+1 a factor of f(x)? 1) f(1)=0 2) f(-1)=0”
September 26, 2018
Max@Math Revolution posted a reply to For an integer n greater than 1, the set S[size=7]n[/size]={ in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Condition ...”
September 26, 2018
Max@Math Revolution posted a new topic called The sequence Sn has the terms S1=1, S2=2, S3=6, S4=15, S5=31 in the Problem Solving forum
“n has the terms S1=1, S2=2, S3=6, S4=15, S5=31, ……. If n is a positive integer, what could be the value of Sn-Sn-1 in terms of n? A. n B. n^2 C. –n D. -n^2 E. (n-1)^2”
September 25, 2018
Max@Math Revolution posted a new topic called Is x>x/y? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is x>x/y? 1) y>1 2) xy>0”
September 25, 2018
Max@Math Revolution posted a new topic called In the coordinate plane, what is the area of the region encl in the Problem Solving forum
“[Math Revolution GMAT math practice question] In the coordinate plane, what is the area of the region enclosed by x ≥ 1, y ≥ 2 and x + y ≤ 5? A. 1 B. 2 C. 3 D. 4 E. 5”
September 24, 2018
Max@Math Revolution posted a new topic called For an integer n greater than 1, the set S[size=7]n[/size]={ in the Data Sufficiency forum
“n={ kn | k is an integer greater than or equal to 1} is defined. What is the value of n? 1) 2 is contained in the set Sn. 2) 4 is contained in the set Sn.”
September 24, 2018
Max@Math Revolution posted a reply to 1/(2-√3)^2=？ in the Problem Solving forum
“=> 1/(2-√3)^2= [1/(2-√3)]^2= {(2+√3)/{(2-√3)(2+√3)}^2={(2+√3)/(4-3)}^2=(2+√3)^2= 4+4√3+3 = 7+4√3. Therefore, the answer is C. Answer: C”
September 24, 2018
Max@Math Revolution posted a reply to How many multiples of 33 lie between 101 and 1,000, inclusiv in the Problem Solving forum
“=> Consider the arithmetic sequence 132, 165, …, 990 of multiples of 33. The number of terms in this sequence is (990-132)/33 + 1 = 858 / 33 + 1 = 26 + 1 = 27. Therefore, the answer is B. Answer: B”
September 24, 2018
Max@Math Revolution posted a reply to If x, y, z are integers, is xyz a multiple of 6? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
September 24, 2018
Max@Math Revolution posted a reply to What is the perimeter of a rectangle? in the Data Sufficiency forum
“=> Forget conventional ways of solving math qAnswer: CAnswer: Cuestions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a ...”
September 24, 2018
Max@Math Revolution posted a new topic called 1/(2-√3)^2=？ in the Problem Solving forum
“[Math Revolution GMAT math practice question] 1/(2-√3)^2=？ A. 2+√3 B. 2-√3 C. 7+4√3 D. 7-4√3 E. 4+7√3”
September 21, 2018
Max@Math Revolution posted a reply to √3-2|+|3-√2|+|5+√3|+|1-√2|=? in the Problem Solving forum
“=> |A|=A when A>0, |0|=0, and |A|=-A when A<0 Since √3-2 < 0, we have |√3-2| = -(√3-2). Since 3-√2 > 0, we have |3-√2| = 3-√2. Since 5+√3 > 0, we have |5+√3| = 5+√3 Since 1-√2 < 0, we have |1-√2| = -(1-√2) So, ...”
September 21, 2018
Max@Math Revolution posted a new topic called If x, y, z are integers, is xyz a multiple of 6? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x, y, z are integers, is xyz a multiple of 6? 1) x+y+z is a multiple of 6 2) x, y, and z are consecutive integers”
September 21, 2018
Max@Math Revolution posted a reply to If n is an integer, is n(n+2) divisible by 8? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
September 21, 2018
Max@Math Revolution posted a new topic called 1/(2-√3)^2=？ in the Problem Solving forum
“[Math Revolution GMAT math practice question] How many multiples of 33 lie between 101 and 1,000, inclusive? A. 24 B. 27 C. 33 D. 36 E. 48”
September 20, 2018
Max@Math Revolution posted a reply to Which of the following functions satisfies f(a+b)=f(a)f(b) f in the Problem Solving forum
“=> A. f(1) = 2, f(2) = 3, f(1)f(2) = 6, but f(1+2) = f(3) = 4. Choice A is incorrect. B. f(2) = 5, f(3) = 10, f(2)f(3) = 50, but f(2+3) = f(5) = 26. Choice B is incorrect. C. f(9) = 3, f(16) = 4, f(9)f(16) = 12, but f(9+16) = f(25) = 5. Choice C is incorrect. D. f(1) = 1, f(2) = 1/2, ...”
September 20, 2018
Max@Math Revolution posted a new topic called What is the perimeter of a rectangle? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] What is the perimeter of a rectangle? 1) The square of the diagonal is 52. 2) The area of the rectangle is 24.”
September 20, 2018
Max@Math Revolution posted a reply to a and b are positive numbers. What is the value of (a-b)/(a+ in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. When a ...”
September 20, 2018
Max@Math Revolution posted a new topic called √3-2|+|3-√2|+|5+√3|+|1-√2|=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] |√3-2|+|3-√2|+|5+√3|+|1-√2|=? A. 0 B. 2√2 C. 2√3 D. 9 E. 11”
September 19, 2018
Max@Math Revolution posted a reply to x^4+12x^3+49x^2+78x+40 can be factored as a product of four in the Problem Solving forum
“=> Assume x^4+px^3+qx^2+rx+s = (x+a)(x+b)(x+c)(x+d). Then, s = abcd. The constant terms a, b, c and d of the linear factors are factors of the constant term s of the original polynomial. Since 3 is not a factor of 40, x + 3 cannot be a factor of the original polynomial ...”
September 19, 2018
Max@Math Revolution posted a new topic called If n is an integer, is n(n+2) divisible by 8? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If n is an integer, is n(n+2) divisible by 8? 1) n is an even number. 2) n is a multiple of 4.”
September 19, 2018
Max@Math Revolution posted a reply to 2^p/2^q=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
September 19, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
September 19, 2018
Max@Math Revolution posted a new topic called Which of the following functions satisfies f(a+b)=f(a)f(b) f in the Problem Solving forum
“[Math Revolution GMAT math practice question] Which of the following functions satisfies f(a+b)=f(a)f(b) for all positive numbers a, b ? A. f(x)=x+1 B. f(x)=x^2+1 C. f(x)=√x D. f(x)=1/x E. f(x)=2^x”
September 18, 2018
Max@Math Revolution posted a new topic called a and b are positive numbers. What is the value of (a-b)/(a+ in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] a and b are positive numbers. What is the value of (a-b)/(a+b)? 1) a=2b 2) (a^2-b^2) / (a+b)^2 =1/3”
September 18, 2018
Max@Math Revolution posted a new topic called x^4+12x^3+49x^2+78x+40 can be factored as a product of four in the Problem Solving forum
“[Math Revolution GMAT math practice question] x^4+12x^3+49x^2+78x+40 can be factored as a product of four linear polynomials with integer coefficients. Which of following cannot be a factor of x^4+12x^3+49x^2+78x+40? A. x+1 B. x+2 C. x+3 D. x+4 E. x+5”
September 17, 2018
Max@Math Revolution posted a new topic called 2^p/2^q=? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] 2^p/2^q=? 1) p = q + 2 2) pq=8”
September 17, 2018
Max@Math Revolution posted a reply to If 1/n(n+1) = 1/n – 1/(n+1), then what is the value of 1/( in the Problem Solving forum
“=> 1/(1*2) + 1/(2*3) + 1/(3*4) + … + 1/(99*100) = (1/1 – 1/2) + (1/2 – 1/3) + (1/3 – 1/4) + … + (1/99 – 1/100) = 1/1 – 1/100 = 1 – 1/100 = 99/100 after cancellation of the inner terms. Therefore, the answer is D. Answer: D”
September 17, 2018
Max@Math Revolution posted a reply to (1^2+2^2+3^3+…+20^2) / (1+2+3+ …+20)=? in the Problem Solving forum
“=> Now, 1^2 + 2^2 + 3^2 + … + n^2 = n(n+1)(2n+1)/6 and 1 + 2 + 3 + … + n = n(n+1)/2. So, (1^2+2^2+3^2+…+20^2) / (1+2+3+ …+20) = ( 20*21*41/6 ) / ( 20*21/2 ) = (41/6) / (1/2) = 41/3 Therefore, the answer is A. Answer: A”
September 17, 2018
Max@Math Revolution posted a reply to Is x < 0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
September 17, 2018
Max@Math Revolution posted a reply to If n is an integer, is (n+1)^2 an even integer? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
September 17, 2018
Max@Math Revolution posted a new topic called If 1/n(n+1) = 1/n – 1/(n+1), then what is the value of 1/(1* in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 1/n(n+1) = 1/n – 1/(n+1), then what is the value of 1/(1*2) + 1/(2*3) + 1/(3*4) + … + 1/(99*100) A. 1/100 B. 1/50 C. 49/50 D. 99/100 E. 1/2”
September 14, 2018
Max@Math Revolution posted a reply to If the interior angles of a triangle are in the ratio 3 to in the Problem Solving forum
“=> Let x, y and z be interior angles of the triangle. Since x:y:z = 3:4:5, we can write x = 3k, y = 4k and z = 5k. Since the interior angles of the triangle add to 180, x + y + z = 3k + 4k + 5k = 12k = 180, and so k = 180 /12 = 15. Therefore, the largest angle of the triangle is z = 5k = ...”
September 14, 2018
Max@Math Revolution posted a new topic called Is x < 0? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is x < 0? 1) |x|=-x 2) |x|>x”
September 14, 2018
Max@Math Revolution posted a reply to x=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
September 14, 2018
Max@Math Revolution posted a new topic called (1^2+2^2+3^3+…+20^2) / (1+2+3+ …+20)=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] ( 1^2+2^2+3^2+…+20^2) / (1+2+3+ …+20)=? A. 41/3 B. 41/6 C. 41 D. 210 E. 420 ”
September 13, 2018
Max@Math Revolution posted a reply to What is the value of 22C19? in the Problem Solving forum
“=> Since nCn-r = nCr, 22C19 = 22C3 = (22*21*20)/(1*2*3) = 11*7*20 = 1540. Therefore, the answer is B. Answer: B”
September 13, 2018
Max@Math Revolution posted a new topic called If n is an integer, is (n+1)^2 an even integer? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If n is an integer, is (n+1)^2 an even integer? 1) n-1 is an even integer 2) (n-1)^2 is an even integer”
September 13, 2018
Max@Math Revolution posted a reply to Does y=ax^2+bx+c intersect the x-axis? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
September 13, 2018
Max@Math Revolution posted a new topic called If the interior angles of a triangle are in the ratio 3 to in the Problem Solving forum
“[Math Revolution GMAT math practice question] If the interior angles of a triangle are in the ratio 3 to 4 to 5, what is the measure of the largest angle? A. 30 B. 45 C. 60 D. 75 E. 90”
September 12, 2018
Max@Math Revolution posted a reply to If 5^{m-2}2^{m+2} is an n-digit integer, where m is an inte in the Problem Solving forum
“=> 5^{m-2}2^{m+2} = 5^{m-2}2^{m-2+4} = 5^{m-2}2^{m-2}*2^4 = (5*2)^{m-2}*2^4= (10)^{m-2}*2^4 = 16*(10)^{m-2} = 16*(100…0)= 1600…0 with m-2 0’s. 10^{m-2} has m-2 digits that are 0 and 16*(10)^{m-2} has digits including 1, 6 and m-2 digits that are 0. Thus, 16*(10)^{m-2} has m – 2 + m ...”
September 12, 2018
Max@Math Revolution posted a new topic called x=? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] x=? 1) x^3+x^2+x=0 2) x=-2x”
September 12, 2018
Max@Math Revolution posted a reply to Is xy>0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
September 12, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
September 12, 2018
Max@Math Revolution posted a new topic called What is the value of 22C19? in the Problem Solving forum
“22C19? A. 770 B. 1540 C. 3080 D. 4620 E. 6160”
September 11, 2018
Max@Math Revolution posted a new topic called Does y=ax^2+bx+c intersect the x-axis? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Does y=ax^2+bx+c intersect the x-axis? 1) a<0 2) c>0”
September 11, 2018
Max@Math Revolution posted a new topic called If 5^{m-2}2^{m+2} is an n-digit integer, where m is an inte in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 5^{m-2}2^{m+2} is an n-digit integer, where m is an integer greater than 2, what is the value of n, in terms of m? A. n=m-4 B. n=m-2 C. n=m-1 D. n=m E. n=2m”
September 10, 2018
Max@Math Revolution posted a new topic called Is xy>0? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is xy>0? 1) x^3y>0 2) x^2y>0”
September 10, 2018
Max@Math Revolution posted a reply to If n is the greatest positive integer for which 5^n is a fac in the Problem Solving forum
“=> 50! = 1*2*…*5*…*10*…*15*…*20*…*25*…*30*…*35*…*40*…*45*…*50 =1*2*…*(5)…*(2*5)*…*(3*5)*…*(4*5)*…*(52)*…*(6*5)*…*(7*5)*…*(8*5)*…*(9*5)*…*(2*5^2) Since 5 is a prime number, no further factors of 5 appear in the prime factorization of 50!. The number of 5s ...”
September 10, 2018
Max@Math Revolution posted a reply to What is the sum of roots of the equation x^2 – 40x + 399 = in the Problem Solving forum
“=> Let p and q be the roots of the equation x^2 – 40x + 399 = 0. Then x^2 – 40x + 399 = (x-p)(x-q) = x^2 – (p+q)x + pq. Equating coefficients gives p + q = 40 from the coefficient of x. Therefore, the answer is D. Answer: D”
September 10, 2018
Max@Math Revolution posted a reply to What is the value of the 2-digit positive integer n if its in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
September 10, 2018
Max@Math Revolution posted a reply to What is the area of the above triangle? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
September 10, 2018
Max@Math Revolution posted a new topic called If n is the greatest positive integer for which 5^n is a fac in the Problem Solving forum
“[Math Revolution GMAT math practice question] If n is the greatest positive integer for which 5^n is a factor of 50!, what is the value of n? A. 10 B. 11 C. 12 D. 13 E. 14”
September 7, 2018
Max@Math Revolution posted a reply to If r is a positive integer, n=r^3 and 4,14, and 27 are facto in the Problem Solving forum
“=> Since 4 = 2^2,14 = 2*7, 27 = 3^3 are factors of n and n is a perfect cube, the smallest possible value of n is 2^3*3^3*7^3. When n = 2^3*3^3*7^3, 16 = 2^4, 32 = 2^5, 48=2^4*3 and 64 = 2^6 can’t be factors of n. The only answer choice that is a factor of n is 36 = 2^2*3^2. ...”
September 7, 2018
Max@Math Revolution posted a new topic called What is the value of the 2-digit positive integer n if its in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] What is the value of the 2-digit positive integer n if its tens digit is four times its units digit? 1) n is an even number 2) The units digit of n is greater than 1”
September 7, 2018
Max@Math Revolution posted a reply to The numbers x, y and z are in the ratio 3 to 4 to 5. What is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method I s the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
September 7, 2018
Max@Math Revolution posted a new topic called What is the sum of roots of the equation x^2 – 40x + 399 = 0 in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the sum of roots of the equation x^2 – 40x + 399 = 0? A. 19 B. 20 C. 21 D. 40 E. 399”
September 6, 2018
Max@Math Revolution posted a reply to If x and y are integers, what is the least possible positive in the Problem Solving forum
“=> 21x + 35y = 7*3x + 7*5y = 7(3x+5y) is a multiple of 7. The smallest positive multiple of 7 is 7. So, we look for x and y such that 21x + 35y = 7. This will occur when 3x + 5y = 1. When x = 2 and y = -1, 3x + 5y = 3*2 + 5*(-1) = 6 – 5 = 1, and 21x + 35y = 7(3x+5y) = 7(1) = 7. Thus, 7 ...”
September 6, 2018
Max@Math Revolution posted a new topic called What is the area of the above triangle? in the Data Sufficiency forum
“https://s8.postimg.cc/iobpgxiht/9.6.png What is the area of the above triangle? 1) y=z 2) y+z=10”
September 6, 2018
Max@Math Revolution posted a reply to Is n an odd number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
September 6, 2018
Max@Math Revolution posted a new topic called If r is a positive integer, n=r^3 and 4,14, and 27 are facto in the Problem Solving forum
“[Math Revolution GMAT math practice question] If r is a positive integer, n=r^3 and 4,14, and 27 are factors of n, which of the following must be a factor of n? A. 16 B. 32 C. 36 D. 48 E. 64”
September 5, 2018
Max@Math Revolution posted a reply to Which of the following lines is perpendicular to y=(1/2)x? in the Problem Solving forum
“=> Two lines are perpendicular if and only if the product of their slopes is -1. Since (1/2)*(-2) = -1, the slope of the line perpendicular to y = (1/2)x is -2. The only answer choice with a slope of -2 is A. Therefore, A is the answer. Answer: A”
September 5, 2018
Max@Math Revolution posted a new topic called The numbers x, y and z are in the ratio 3 to 4 to 5. What is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] The numbers x, y and z are in the ratio 3 to 4 to 5. What is the value of x? 1) y = 16 2) The difference between y and z is 4”
September 5, 2018
Max@Math Revolution posted a reply to Is xy<1? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
September 5, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
September 5, 2018
Max@Math Revolution posted a new topic called If x and y are integers, what is the least possible positive in the Problem Solving forum
“[Math Revolution GMAT math practice question] If x and y are integers, what is the least possible positive value of 21x+35y? A. 1 B. 3 C. 5 D. 7 E. 9”
September 4, 2018
Max@Math Revolution posted a new topic called The numbers x, y and z are in the ratio 3 to 4 to 5. What is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is n an odd number? 1) n is the sum of 2 prime numbers 2) n is a multiple of 11”
September 4, 2018
Max@Math Revolution posted a new topic called Which of the following lines is perpendicular to y=(1/2)x? in the Problem Solving forum
“[Math Revolution GMAT math practice question] Which of the following lines is perpendicular to y=(1/2)x? A. y=-2x B. y=x/2 C. y=2x D. y=-x/2 E. y=x”
September 3, 2018
Max@Math Revolution posted a new topic called Is xy<1? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is xy<1? 1) x^2+y^2 < 1 2) x + y < 1”
September 3, 2018
Max@Math Revolution posted a reply to When n is an odd integer, f(n)=3^n and when n is an even int in the Problem Solving forum
“=> Since n = 2^5 is an even integer, f(2^5) = 4^2^{5/2}=4^2^4=(2^2)^{16}=2^{32}. Therefore, the answer is E. Answer: E”
September 3, 2018
Max@Math Revolution posted a reply to A jar contains 16 red balls and 8 white balls. If 3 balls ar in the Problem Solving forum
“=> There are 24C3 ways of choosing 3 balls from the 24 in the jar, and 8C3 ways of choosing 3 balls from the 8 white balls. Therefore, the probability of choosing 3 white balls from the jar is: 8C3 / 24C3 = { (8*7*6) / (1*2*3) } / { (24*23*22) / (1*2*3) } = (8*7*6) / (24*23*22) = 7 / ( 23* ...”
September 3, 2018
Max@Math Revolution posted a reply to What is the area of a triangle? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. When we ...”
September 3, 2018
Max@Math Revolution posted a reply to What is the range of 10 numbers? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since ...”
September 3, 2018
Max@Math Revolution posted a new topic called When n is an odd integer, f(n)=3^n and when n is an even int in the Problem Solving forum
“[Math Revolution GMAT math practice question] When n is an odd integer, f(n)=3^n and when n is an even integer, f(n)=4^n/2. What is the value of f(2^5)=? A. 2^5 B. 3^11 C. 3^12 D. 3^13 E. 2^32”
August 31, 2018
Max@Math Revolution posted a reply to What is the units digit of (3^{101})(7^{103})? in the Problem Solving forum
“=> The units digit is the remainder when (3^101)(7^103) is divided by 10. The remainders when powers of 3 are divided by 10 are 3^1: 3, 3^2: 9, 3^3: 7, 3^4: 1, 3^5: 3, … So, the units digits of 3^n have period 4: They form the cycle 3 -> 9 -> 7 -> 1. Thus, 3^n ...”
August 31, 2018
Max@Math Revolution posted a new topic called What is the area of a triangle? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] What is the area of a triangle? 1) The triangle is isosceles. 2) Two sides of the triangle are 10.”
August 31, 2018
Max@Math Revolution posted a reply to Does x^2+px+q = 0 have a root? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
August 31, 2018
Max@Math Revolution posted a new topic called A jar contains 16 red balls and 8 white balls. If 3 balls ar in the Problem Solving forum
“[Math Revolution GMAT math practice question] A jar contains 16 red balls and 8 white balls. If 3 balls are selected at random from the jar, what is the approximate probability that all balls selected are white? A. 0.02 B. 0.03 C. 0.04 D. 0.05 E. ...”
August 30, 2018
Max@Math Revolution posted a reply to What is the sum of all multiples of 3 between 1 and 200? in the Problem Solving forum
“=> We need to find the sum of 3, 6, …, 198. The number of data values is (198 – 3)/3 + 1 = 195/3 + 1 = 65 + 1 = 66. Thus the sum of 3, 6, …, 198 is 3 + 6 + … + 198 = 3+6+…+198=3(1+2+…+66)=3(66)(66+1)/2=3(33)(67)=6,633. Therefore, the answer is C. Answer: C”
August 30, 2018
Max@Math Revolution posted a new topic called What is the range of 10 numbers? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] What is the range of 10 numbers? 1) The average (arithmetic mean) of the 10 numbers is 10 2) The greatest of the 10 numbers is 15”
August 30, 2018
Max@Math Revolution posted a reply to Is xy>0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
August 30, 2018
Max@Math Revolution posted a new topic called What is the units digit of (3^{101})(7^{103})? in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the units digit of (3^{101})(7^{103})? A. 1 B. 3 C. 5 D. 7 E. 9”
August 29, 2018
Max@Math Revolution posted a reply to If x and y are positive integers and xy=36, what is the smal in the Problem Solving forum
“=> When we know the product of two numbers, the sum of those numbers is a minimum when the two numbers are equal. Since xy = 36, the minimum value of x + y occurs when x = y = 6. It is 6 + 6 = 12. Therefore, D is the answer. Answer: D”
August 29, 2018
Max@Math Revolution posted a new topic called Does x^2+px+q = 0 have a root? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Does x^2+px+q = 0 have a root? 1) p<0 2) q<0”
August 29, 2018
Max@Math Revolution posted a reply to If m and n are integers greater than 1, is m^n>500? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
August 29, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
August 29, 2018
Max@Math Revolution posted a new topic called What is the sum of all multiples of 3 between 1 and 200? in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the sum of all multiples of 3 between 1 and 200? A. 3300 B. 6600 C. 6633 D. 10100 E. 20100”
August 28, 2018
Max@Math Revolution posted a new topic called Is xy>0? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] 8.28 Is xy>0? 1) x+y>0 2) |x|+|y|<1”
August 28, 2018
Max@Math Revolution posted a new topic called If x and y are positive integers and xy=36, what is the smal in the Problem Solving forum
“[Math Revolution GMAT math practice question] If x and y are positive integers and xy=36, what is the smallest possible value of x+y? A. 6 B. 8 C. 10 D. 12 E. 18”
August 27, 2018
Max@Math Revolution posted a new topic called If m and n are integers greater than 1, is m^n>500? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If m and n are integers greater than 1, is m^n>500? 1) n>8 2) n>2m”
August 27, 2018
Max@Math Revolution posted a reply to The average (arithmetic mean) of the five numbers in a data in the Problem Solving forum
“=> Let a, b, c, d and e be the five numbers. Now, the average of these numbers is ( a + b + c + d + e ) / 5 = 72, so a + b + c + d + e = 72 * 5 = 360. The average of the first three numbers is ( a + b + c ) / 3 = 98, so a + b + c = 98 * 3 = 294. Thus, the sum of the last two numbers is d + e ...”
August 27, 2018
Max@Math Revolution posted a reply to A whole number greater than 1 has remainders of 1 when it is in the Problem Solving forum
“=> Let x be the smallest number satisfying the original condition. Then x – 1 is the least common multiple of 2, 3, 4 and 5. So, x – 1 = 60. Thus, x = 61. Therefore, the answer is C. Answer: C”
August 27, 2018
Max@Math Revolution posted a reply to Is x|y|=|xy|? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
August 27, 2018
Max@Math Revolution posted a reply to What is the length of the sides of a given cube? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since a ...”
August 27, 2018
Max@Math Revolution posted a reply to Let z be the harmonic mean of x and y. If 1/z=(1/2)((1/x)+ in the Problem Solving forum
“We can solve this question without understanding the definition of a harmonic mean when we use the original condition 1/z = (1/2)(1/x + 1/y).”
August 26, 2018
Max@Math Revolution posted a reply to The median of a data set is x and its maximum is 40. The ran in the Problem Solving forum
“The question should be changed to the following. It is fixed now. The average of the maximum and the minimum of a data set is x and its maximum is 40. The range of the set is 10 greater than x. What is the minimum of the set in terms of x?”
August 26, 2018
Max@Math Revolution posted a new topic called The average (arithmetic mean) of the five numbers in a data in the Problem Solving forum
“[Math Revolution GMAT math practice question] The average (arithmetic mean) of the five numbers in a data set is 72. The average (arithmetic mean) of the first three numbers is 98. What is the average (arithmetic mean) of the last two numbers? A. 31 B. 32 C. 33 ...”
August 24, 2018
Max@Math Revolution posted a reply to Alice, Bob, Cindy, Dave and Eddie joined a three-person-a-si in the Problem Solving forum
“=> The number of ways of choosing the three starters is the number of ways of choosing three people from a set of five people, where order does not matter and repetition is not allowed. The number of possible selections of three starters is: 5C3 = 5C2 = (5*4)/(1*2) = 10. Therefore, ...”
August 24, 2018
Max@Math Revolution posted a new topic called Is x|y|=|xy|? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is x|y|=|xy|? 1) x>0 2) y>0”
August 24, 2018
Max@Math Revolution posted a reply to If x and y are integers, is x^3+3x-y an even number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
August 24, 2018
Max@Math Revolution posted a new topic called A whole number greater than 1 has remainders of 1 when it is in the Problem Solving forum
“[Math Revolution GMAT math practice question] A whole number greater than 1 has remainders of 1 when it is divided by each of the numbers of 2, 3, 4 and 5. What is the smallest such number? A. 31 B. 51 C. 61 D. 91 E. 121”
August 23, 2018
Max@Math Revolution posted a reply to Which of the following is the best approximation for 11^11-9 in the Problem Solving forum
“=> 9^9 is much smaller than 11^11. Thus, 11^11-9^9 is closest to 11^11. Therefore, the answer is D. Answer: D”
August 23, 2018
Max@Math Revolution posted a new topic called What is the length of the sides of a given cube? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] What is the length of the sides of a given cube? 1) The surface area of the cube is 150 2) The volume of the cube is 125”
August 23, 2018
Max@Math Revolution posted a reply to If x and y are prime numbers, how many factors has x^2y^2? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
August 23, 2018
Max@Math Revolution posted a new topic called Alice, Bob, Cindy, Dave and Eddie joined a three-person-a-si in the Problem Solving forum
“[Math Revolution GMAT math practice question] Alice, Bob, Cindy, Dave and Eddie joined a three-person-a-side basketball tournament. In how many ways can be the three starters be chosen? A. 5 B. 6 C. 8 D. 9 E. 10”
August 22, 2018
Max@Math Revolution posted a reply to Let z be the harmonic mean of x and y. If 1/z=(1/2)((1/x)+ in the Problem Solving forum
“=> 1/z = (1/2)(1/x + 1/y) = (1/2)( (x+y)/xy ) = (x+y)/(2xy) Thus, z = 2xy / ( x + y ). Therefore, A is the answer. Answer: A”
August 22, 2018
Max@Math Revolution posted a new topic called If x and y are integers, is x^3+3x-y an even number? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x and y are integers, is x^3+3x-y an even number? 1) x=11 2) y=10”
August 22, 2018
Max@Math Revolution posted a reply to If (|x|-2)(x-1)=0, then x=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
August 22, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
August 22, 2018
Max@Math Revolution posted a new topic called Which of the following is the best approximation for 11^11-9 in the Problem Solving forum
“[Math Revolution GMAT math practice question] Which of the following is the best approximation for 11^11-9^9? A. 11^8 B. 11^9 C. 11^10 D. 11^11 E. 11^12”
August 21, 2018
Max@Math Revolution posted a new topic called If x and y are prime numbers, how many factors has x^2y^2? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x and y are prime numbers, how many factors has x^2y^2? 1) xy=10 2) x+y is odd”
August 21, 2018
Max@Math Revolution posted a reply to a, b, c, d, e and f are integers. Is their median greater th in the Data Sufficiency forum
“Math Revolution provides VA method for DS questions. VA suggests we should check both conditions together first, when we need 3 or more equations, which means E is most likely to be the answer. If both conditions together are not sufficient, just choose E. We don''t need to check each of ...”
August 20, 2018
Max@Math Revolution posted a reply to a, b, c, d, e and f are integers. Is their median greater th in the Data Sufficiency forum
“Math Revolution provides VA method for DS questions. VA suggests we should check both conditions together first, when we need 3 or more equations, which means E is most likely to be the answer. If both conditions together are not sufficient, just choose E. We don''t need to check each of ...”
August 20, 2018
Max@Math Revolution posted a reply to a, b, c, d, e and f are integers. Is their median greater th in the Data Sufficiency forum
“Math Revolution provides VA method for DS questions. VA suggests we should check both conditions together first, when we need 3 or more equations, which means E is most likely to be the answer. If both conditions together are not sufficient, just choose E. We don''t need to check each of ...”
August 20, 2018
Max@Math Revolution posted a new topic called Let z be the harmonic mean of x and y. If 1/z=(1/2)((1/x)+ in the Problem Solving forum
“[Math Revolution GMAT math practice question] Let z be the harmonic mean of x and y. If 1/z=(1/2)((1/x)+(1/y)), which of the following is an expression for z, in terms of x and y? A. 2xy / ( x + y ) B. 2( x + y ) / ( x – y ) C. 2( x – y ) / ( x + y ) D. 2( x + y ) / xy E. xy / ( ...”
August 20, 2018
Max@Math Revolution posted a new topic called If (|x|-2)(x-1)=0, then x=? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If (|x|-2)(x-1)=0, then x=? $$1)\ x>0$$ $$2)\ -1\le x\le1$$”
August 20, 2018
Max@Math Revolution posted a reply to What is the 777th decimal digit of 0.345634563456……..? in the Problem Solving forum
“=> The digits of 0.345634563456…. repeat with period 4. Since the 1st, 5th, 9th, … decimal digits are 3, the n-th decimal digit is 3 if n has a remainder of 1 when it is divided by 4. Since the 2nd, 6th, 10th, … decimal digits are 4, the n-th decimal digit is 4 if n has a remainder of ...”
August 20, 2018
Max@Math Revolution posted a reply to The median of a data set is x and its maximum is 40. The ran in the Problem Solving forum
“=> https://s8.postimg.cc/fzma1xwrl/8.20.png The range of the set is 2 times 40 – x, since 40 – x is the distance between the median and the maximum. The minimum is the median minus the distance between the median and the maximum, which is x – ( 40 – x ) = 2x – 40. Therefore, ...”
August 20, 2018
Max@Math Revolution posted a reply to Is n an integer? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Condition ...”
August 20, 2018
Max@Math Revolution posted a reply to If x, y, and z are positive integers, x=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
August 20, 2018
Max@Math Revolution posted a new topic called What is the 777th decimal digit of 0.345634563456……..? in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the 777th decimal digit of 0.345634563456……..? A. 3 B. 4 C. 5 D. 6 E. 7”
August 17, 2018
Max@Math Revolution posted a reply to If (2/3)^n=(9/4)^2, what is the value of n? in the Problem Solving forum
“=> (9/4)^2 = ((3/2)^2)^2 = (3/2)^4 = (2/3)^{-4}. Thus, n = -4. Therefore, the answer is A. Answer: A”
August 17, 2018
Max@Math Revolution posted a new topic called Is n an integer? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is n an integer? 1) 3n is an integer 2) 4n is an integer”
August 17, 2018
Max@Math Revolution posted a reply to What is the remainder when 2^n is divided by 10? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
August 17, 2018
Max@Math Revolution posted a new topic called The median of a data set is x and its maximum is 40. The ran in the Problem Solving forum
“[Math Revolution GMAT math practice question] The average of the maximum and the minimum of a data set is x and its maximum is 40. The range of the set is 10 greater than x. What is the minimum of the set in terms of x? A. x - 20 B. 2x - 40 C. 2x D. 20 – x E. ...”
August 16, 2018
Max@Math Revolution posted a reply to If n is a positive integer, which of the following can’t b in the Problem Solving forum
“=> If n + 1 is an even number, then n is an odd number and (n+1)^4-n^4 must be an odd number. If n + 1 is an odd number, then n is an even number and (n+1)^4-n^4 must be an odd number. All answer choices except for C) are odd numbers. Therefore, the answer is C. Answer: C”
August 16, 2018
Max@Math Revolution posted a new topic called If x, y, and z are positive integers, x=? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x, y, and z are positive integers, x=? 1) y=x+1 and z=x+3 2) x, y, and z are prime numbers”
August 16, 2018
Max@Math Revolution posted a reply to Is ab>bc? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
August 16, 2018
Max@Math Revolution posted a new topic called If (2/3)^n=(9/4)^2, what is the value of n? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If (2/3)^n=(9/4)^2, what is the value of n? A. -4 B. -2 C. 0 D. 2 E. 4”
August 15, 2018
Max@Math Revolution posted a reply to If the greatest common divisor of (n-1)!, n!, and (n+1)! is in the Problem Solving forum
“=> Since n! and (n+1)! are multiples of (n-1)!, (n-1)! is their gcd. It follows that n – 1 = 7 or n = 8, since 7! = 5040. Therefore, E is the answer. Answer: E”
August 15, 2018
Max@Math Revolution posted a new topic called What is the remainder when 2^n is divided by 10? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] What is the remainder when 2^n is divided by 10? 1) n is a positive multiple of 2 2) n is a positive multiple of 4”
August 15, 2018
Max@Math Revolution posted a reply to If the average (arithmetic mean) of 3 integers x, y, z is 10 in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
August 15, 2018
Max@Math Revolution posted a new topic called If n is a positive integer, which of the following can’t be in the Problem Solving forum
“[Math Revolution GMAT math practice question] If n is a positive integer, which of the following can’t be the value of (n+1)^4-n^4? A. 2465 B. 4641 C. 6096 D. 7825 E. 9855”
August 15, 2018
Max@Math Revolution posted a new topic called If the greatest common divisor of (n-1)!, n!, and (n+1)! is in the Problem Solving forum
“[Math Revolution GMAT math practice question] If the greatest common divisor of (n-1)!, n!, and (n+1)! is 5040, what is the value of n? A. 4 B. 5 C. 6 D. 7 E. 8”
August 15, 2018
Max@Math Revolution posted a new topic called Is ab>bc? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is ab>bc? 1) abc=0 2) a>c”
August 15, 2018
Max@Math Revolution posted a new topic called If the average (arithmetic mean) of 3 integers x, y, z is 10 in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If the average (arithmetic mean) of 3 integers x, y, z is 10, what is the value of z? 1) x=1 2) x=5-y”
August 15, 2018
Max@Math Revolution posted a reply to In the x-y coordinate plane, the distance between (p,q) and in the Problem Solving forum
“=> (p-1)^2 + (q-1)^2 = 5^2 If p – 1 = ±3, and q - 1 = ±4, then p = 1 ± 3, and q = 1 ± 4. There are four possible points: ( p, q ) = ( 4, 5 ), ( 4, -3 ), ( -2, 5 ), ( -2, -3 ). If p – 1 = ±4, and q - 1 = ±3, then p = 1 ±4, and q = 1 ± 3. There are four possible points: ( p, q ) ...”
August 13, 2018
Max@Math Revolution posted a reply to The lengths of two sides of a certain obtuse triangle are 9 in the Problem Solving forum
“=> If a, b and c are sides of a right triangle and c is the longest side, then c^2 = a^2 + b^2. If a, b and c are sides of an acute triangle and c is the longest side, then c^2 < a^2 + b^2. If a, b and c are sides of an obtuse triangle and c is the longest side, then c^2 > a^2 + ...”
August 13, 2018
Max@Math Revolution posted a reply to x ≠ 0. Is x^2>x^4? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
August 13, 2018
Max@Math Revolution posted a reply to If a, b, and c are consecutive 2-digit positive integers in in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
August 13, 2018
Max@Math Revolution posted a new topic called In the x-y coordinate plane, the distance between (p,q) and in the Problem Solving forum
“[Math Revolution GMAT math practice question] In the x-y coordinate plane, the distance between (p,q) and (1,1) is 5. If p and q are integers, how many possibilities are there for the point (p,q)? A. 2 B. 4 C. 8 D. 12 E. 16”
August 10, 2018
Max@Math Revolution posted a reply to If x, y, z are positive integers and x<y<z, which of t in the Problem Solving forum
“=> Since z^x < z^y, we have (z^x)(z^y)< (z^y)(z^y) = z^{2y}. Therefore, the answer is E. Answer: E”
August 10, 2018
Max@Math Revolution posted a new topic called x ≠ 0. Is x^2>x^4? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] 8.10 x ≠ 0. Is x^2>x^4? 1) x^2<1 2) x^2<2x”
August 10, 2018
Max@Math Revolution posted a reply to If the average (arithmetic mean) of a, b and c is m, is thei in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. We have m = ...”
August 10, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
August 9, 2018
Max@Math Revolution posted a new topic called The lengths of two sides of a certain obtuse triangle are 9 in the Problem Solving forum
“[Math Revolution GMAT math practice question] The lengths of two sides of a certain obtuse triangle are 9 and 12. Which of the following could be the length of the third side of the triangle? A. 12 B. 13 C. 14 D. 15 E. 16”
August 9, 2018
Max@Math Revolution posted a reply to n is a positive integer less than 50. When n is divided by in the Problem Solving forum
“=> The positive integers less than 50 that have a remainder of 2 when they are divided by 6 are n = 2, 8, 14, 20, 26, 32, 38 and 44. The positive integers less than 50 that have a remainder of 6 when they are divided by 7 are n = 6, 13, 20, 27, 34, 41 and 48. The only integer in both lists ...”
August 9, 2018
Max@Math Revolution posted a new topic called If a, b, and c are consecutive 2-digit positive integers in in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If a, b, and c are consecutive 2-digit positive integers in that order, and a+b+c is a multiple of 10, what is the value of c? 1) a is a prime number 2) c is a prime number”
August 9, 2018
Max@Math Revolution posted a reply to If n is a 2-digit positive integer and its tens digit is 4 t in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
August 9, 2018
Max@Math Revolution posted a new topic called If x, y, z are positive integers and x<y<z, which of the fol in the Problem Solving forum
“[Math Revolution GMAT math practice question] If x, y, z are positive integers and x<y<z, which of the following must be greater than (z^x)(z^y)? A. y^{2z} B. y^{2y} C. x^{2y} D. x^{zx} E. z^{2y}”
August 8, 2018
Max@Math Revolution posted a reply to If the range of set A is 5 and the range of set B is 11, whi in the Problem Solving forum
“=> For example, if A = {0,5} and B = { 0, 11 }, then the set A is included in the set B and the smallest possible range of the sets A and B combined is 11, which is the range of the set B. Thus, any number less than 11 cannot be the range of sets A and B, combined. Therefore, A is the ...”
August 8, 2018
Max@Math Revolution posted a new topic called If the average (arithmetic mean) of a, b and c is m, is thei in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If the average (arithmetic mean) of a, b and c is m, is their standard deviation less than 1? 1) a, b and c are consecutive integers with a < b < c. 2) m = 2”
August 8, 2018
Max@Math Revolution posted a reply to a, b, c, d, e and f are integers. Is their median greater th in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
August 8, 2018